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Fractions  - Adding and Subtracting Fractions

Fractions  -, adding and subtracting fractions, fractions adding and subtracting fractions.

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Fractions: Adding and Subtracting Fractions

Lesson 3: adding and subtracting fractions.

/en/fractions/comparing-and-reducing-fractions/content/

Adding and subtracting fractions

In the previous lessons, you learned that a fraction is part of a whole. Fractions show how much you have of something, like 1/2 of a tank of gas or 1/3 of a cup of water.

In real life, you might need to add or subtract fractions. For example, have you ever walked 1/2 of a mile to work and then walked another 1/2 mile back? Or drained 1/4 of a quart of gas from a gas tank that had 3/4 of a quart in it? You probably didn't think about it at the time, but these are examples of adding and subtracting fractions.

Click through the slideshow to learn how to set up addition and subtraction problems with fractions.

unit fraction operations homework 2 adding and subtracting fractions

Let's imagine that a cake recipe tells you to add 3/5 of a cup of oil to the batter.

unit fraction operations homework 2 adding and subtracting fractions

You also need 1/5 of a cup of oil to grease the pan. To see how much oil you'll need total, you can add these fractions together.

unit fraction operations homework 2 adding and subtracting fractions

When you add fractions, you just add the top numbers, or numerators .

unit fraction operations homework 2 adding and subtracting fractions

That's because the bottom numbers, or denominators , show how many parts would make a whole.

We don't want to change how many parts make a whole cup ( 5 ). We just want to find out how many parts we need total.

So we only need to add the numerators of our fractions.

unit fraction operations homework 2 adding and subtracting fractions

We can stack the fractions so the numerators are lined up. This will make it easier to add them.

unit fraction operations homework 2 adding and subtracting fractions

And that's all we have to do to set up an addition example with fractions. Our fractions are now ready to be added.

unit fraction operations homework 2 adding and subtracting fractions

We'll do the same thing to set up a subtraction example. Let's say you had 3/4 of a tank of gas when you got to work.

unit fraction operations homework 2 adding and subtracting fractions

If you use 1/4 of a tank to drive home, how much will you have left? We can subtract these fractions to find out.

unit fraction operations homework 2 adding and subtracting fractions

Just like when we added, we'll stack our fractions to keep the numerators lined up.

unit fraction operations homework 2 adding and subtracting fractions

This is because we want to subtract 1 part from 3 parts.

unit fraction operations homework 2 adding and subtracting fractions

Now that our example is set up, we're ready to subtract!

unit fraction operations homework 2 adding and subtracting fractions

Try setting up these addition and subtraction problems with fractions. Don't try solving them yet!

You run 4/10 of a mile in the morning. Later, you run for 3/10 of a mile.

unit fraction operations homework 2 adding and subtracting fractions

You had 7/8 of a stick of butter and used 2/8 of the stick while cooking dinner.

unit fraction operations homework 2 adding and subtracting fractions

Your gas tank is 2/5 full, and you put in another 2/5 of a tank.

Solving addition problems with fractions

Now that we know how to write addition problems with fractions, let's practice solving a few. If you can add whole numbers , you're ready to add fractions.

Click through the slideshow to learn how to add fractions.

unit fraction operations homework 2 adding and subtracting fractions

Let's continue with our previous example and add these fractions: 3/5 of cup of oil and 1/5 of a cup of oil.

unit fraction operations homework 2 adding and subtracting fractions

Remember, when we add fractions, we don't add the denominators.

unit fraction operations homework 2 adding and subtracting fractions

This is because we're finding how many parts we need total. The numerators show the parts we need, so we'll add 3 and 1 .

unit fraction operations homework 2 adding and subtracting fractions

3 plus 1 equals 4 . Make sure to line up the 4 with the numbers you just added.

unit fraction operations homework 2 adding and subtracting fractions

The denominators will stay the same, so we'll write 5 on the bottom of our new fraction.

unit fraction operations homework 2 adding and subtracting fractions

3/5 plus 1/5 equals 4/5 . So you'll need 4/5 of a cup of oil total to make your cake.

unit fraction operations homework 2 adding and subtracting fractions

Let's try another example: 7/10 plus 2/10 .

unit fraction operations homework 2 adding and subtracting fractions

Just like before, we're only going to add the numerators. In this example, the numerators are 7 and 2 .

unit fraction operations homework 2 adding and subtracting fractions

7 plus 2 equals 9 , so we'll write that to the right of the numerators.

unit fraction operations homework 2 adding and subtracting fractions

Just like in our earlier example, the denominator stays the same.

unit fraction operations homework 2 adding and subtracting fractions

So 7/10 plus 2/10 equals 9/10 .

Try solving some of the addition problems below.

unit fraction operations homework 2 adding and subtracting fractions

Solving subtraction problems with fractions

Subtracting fractions is a lot like regular subtraction. If you can subtract whole numbers , you can subtract fractions too!

Click through the slideshow to learn how to subtract fractions.

unit fraction operations homework 2 adding and subtracting fractions

Let's use our earlier example and subtract 1/4 of a tank of gas from 3/4 of a tank.

unit fraction operations homework 2 adding and subtracting fractions

Just like in addition, we're not going to change the denominators.

unit fraction operations homework 2 adding and subtracting fractions

We don't want to change how many parts make a whole tank of gas. We just want to know how many parts we'll have left.

unit fraction operations homework 2 adding and subtracting fractions

We'll start by subtracting the numerators. 3 minus 1 equals 2 , so we'll write 2 to the right of the numerators.

unit fraction operations homework 2 adding and subtracting fractions

Just like when we added, the denominator of our answer will be the same as the other denominators.

unit fraction operations homework 2 adding and subtracting fractions

So 3/4 minus 1/4 equals 2/4 . You'll have 2/4 of a tank of gas left when you get home.

unit fraction operations homework 2 adding and subtracting fractions

Let's try solving another problem: 5/6 minus 3/6 .

unit fraction operations homework 2 adding and subtracting fractions

We'll start by subtracting the numerators.

unit fraction operations homework 2 adding and subtracting fractions

5 minus 3 equals 2 . So we'll put a 2 to the right of the numerators.

unit fraction operations homework 2 adding and subtracting fractions

As usual, the denominator stays the same.

unit fraction operations homework 2 adding and subtracting fractions

So 5/6 minus 3/6 equals 2/6 .

Try solving some of the subtraction problems below.

unit fraction operations homework 2 adding and subtracting fractions

After you add or subtract fractions, you may sometimes have a fraction that can be reduced to a simpler fraction. As you learned in Comparing and Reducing Fractions , it's always best to reduce a fraction to its simplest form when you can. For example, 1/4 plus 1/4 equals 2/4 . Because 2 and 4 can both be divided 2 , we can reduce 2/4 to 1/2 .

2/4 = 1/2

Adding fractions with different denominators

On the last page, we learned how to add fractions that have the same denominator, like 1/4 and 3/4 . But what if you needed to add fractions with different denominators? For example, our cake recipe might say to blend 1/4 cup of milk in slowly and then dump in another 1/3 of a cup.

1/4 + 1/3

In Comparing and Reducing Fractions , we compared fractions with a different bottom number, or denominator. We had to change the fractions so their denominators were the same. To do that, we found the lowest common denominator , or LCD .

We can only add or subtract fractions if they have the same denominators. So we'll need to find the lowest common denominator before we add or subtract these fractions. Once the fractions have the same denominator, we can add or subtract as usual.

Click through the slideshow to learn how to add fractions with different denominators.

unit fraction operations homework 2 adding and subtracting fractions

Let's add 1/4 and 1/3 .

unit fraction operations homework 2 adding and subtracting fractions

Before we can add these fractions, we'll need to change them so they have the same denominator .

To do that, we'll have to find the LCD , or lowest common denominator, of 4 and 3 .

unit fraction operations homework 2 adding and subtracting fractions

It looks like 12 is the smallest number that can be divided by both 3 and 4, so 12 is our LCD .

unit fraction operations homework 2 adding and subtracting fractions

Since 12 is the LCD, it will be the new denominator for our fractions.

unit fraction operations homework 2 adding and subtracting fractions

Now we'll change the numerators of the fractions, just like we changed the denominators.

unit fraction operations homework 2 adding and subtracting fractions

First, let's look at the fraction on the left: 1/4 .

unit fraction operations homework 2 adding and subtracting fractions

To change 4 into 12 , we multiplied it by 3 .

unit fraction operations homework 2 adding and subtracting fractions

Since the denominator was multiplied by 3 , we'll also multiply the numerator by 3 .

unit fraction operations homework 2 adding and subtracting fractions

1 times 3 equals 3 .

unit fraction operations homework 2 adding and subtracting fractions

1/4 is equal to 3/12 .

unit fraction operations homework 2 adding and subtracting fractions

Now let's look at the fraction on the right: 1/3 . We changed its denominator to 12 as well.

unit fraction operations homework 2 adding and subtracting fractions

Our old denominator was 3 . We multiplied it by 4 to get 12.

unit fraction operations homework 2 adding and subtracting fractions

We'll also multiply the numerator by 4 . 1 times 4 equals 4 .

So 1/3 is equal to 4/12 .

unit fraction operations homework 2 adding and subtracting fractions

Now that our fractions have the same denominator, we can add them like we normally do.

unit fraction operations homework 2 adding and subtracting fractions

3 plus 4 equals 7 . As usual, the denominator stays the same. So 3/12 plus 4/12 equals 7/12 .

Try solving the addition problems below.

unit fraction operations homework 2 adding and subtracting fractions

Subtracting fractions with different denominators

We just saw that fractions can only be added when they have the same denominator. The same thing is true when we're subtracting fractions. Before we can subtract, we'll have to change our fractions so they have the same denominator.

Click through the slideshow to learn how to subtract fractions with different denominators.

unit fraction operations homework 2 adding and subtracting fractions

Let's try subtracting 1/3 from 3/5 .

unit fraction operations homework 2 adding and subtracting fractions

First, we'll change the denominators of both fractions to be the same by finding the lowest common denominator .

unit fraction operations homework 2 adding and subtracting fractions

It looks like 15 is the smallest number that can be divided evenly by 3 and 5 , so 15 is our LCD.

unit fraction operations homework 2 adding and subtracting fractions

Now we'll change our first fraction. To change the denominator to 15 , we'll multiply the denominator and the numerator by 3 .

unit fraction operations homework 2 adding and subtracting fractions

5 times 3 equals 15 . So our fraction is now 9/15 .

unit fraction operations homework 2 adding and subtracting fractions

Now let's change the second fraction. To change the denominator to 15 , we'll multiply both numbers by 5 to get 5/15 .

unit fraction operations homework 2 adding and subtracting fractions

Now that our fractions have the same denominator, we can subtract like we normally do.

unit fraction operations homework 2 adding and subtracting fractions

9 minus 5 equals 4 . As always, the denominator stays the same. So 9/15 minus 5/15 equals 4/15 .

Try solving the subtraction problems below.

unit fraction operations homework 2 adding and subtracting fractions

Adding and subtracting mixed numbers

Over the last few pages, you've practiced adding and subtracting different kinds of fractions. But some problems will need one extra step. For example, can you add the fractions below?

2 3/5 + 1 3/5

In Introduction to Fractions , you learned about mixed numbers . A mixed number has both a fraction and a whole number . An example is 2 1/2 , or two-and-a-half . Another way to write this would be 5/2 , or five-halves . These two numbers look different, but they're actually the same.

2 1/2 = 5/2

5/2 is an improper fraction . This just means the top number is larger than the bottom number. Even though improper fractions look strange, you can add and subtract them just like normal fractions. Mixed numbers aren't easy to add, so you'll have to convert them into improper fractions first.

unit fraction operations homework 2 adding and subtracting fractions

Let's add these two mixed numbers: 2 3/5 and 1 3/5 .

unit fraction operations homework 2 adding and subtracting fractions

We'll need to convert these mixed numbers to improper fractions. Let's start with 2 3/5 .

unit fraction operations homework 2 adding and subtracting fractions

As you learned in Lesson 2 , we'll multiply the whole number, 2 , by the bottom number, 5 .

unit fraction operations homework 2 adding and subtracting fractions

2 times 5 equals 10 .

unit fraction operations homework 2 adding and subtracting fractions

Now, let's add 10 to the numerator, 3 .

unit fraction operations homework 2 adding and subtracting fractions

10 + 3 equals 13 .

unit fraction operations homework 2 adding and subtracting fractions

Just like when you add fractions, the denominator stays the same. Our improper fraction is 13/5 .

unit fraction operations homework 2 adding and subtracting fractions

Now we'll need to convert our second mixed number: 1 3/5 .

unit fraction operations homework 2 adding and subtracting fractions

First, we'll multiply the whole number by the denominator. 1 x 5 = 5 .

unit fraction operations homework 2 adding and subtracting fractions

Next, we'll add 5 to the numerators. 5 + 3 = 8 .

unit fraction operations homework 2 adding and subtracting fractions

Just like last time, the denominator remains the same. So we've changed 1 3/5 to 8/5 .

unit fraction operations homework 2 adding and subtracting fractions

Now that we've changed our mixed numbers to improper fractions, we can add like we normally do.

unit fraction operations homework 2 adding and subtracting fractions

13 plus 8 equals 21 . As usual, the denominator will stay the same. So 13/5 + 8/5 = 21/5 .

Because we started with a mixed number, let's convert this improper fraction back into a mixed number.

unit fraction operations homework 2 adding and subtracting fractions

As you learned in the previous lesson , divide the top number by the bottom number. 21 divided by 5 equals 4, with a remainder of 1 .

unit fraction operations homework 2 adding and subtracting fractions

The answer, 4, will become our whole number.

unit fraction operations homework 2 adding and subtracting fractions

And the remainder , 1, will become the numerator of the fraction.

unit fraction operations homework 2 adding and subtracting fractions

So 2 3/5 + 1 3/5 = 4 1/5 .

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Unit 7: Add and subtract fractions

Decomposing fractions.

  • Decomposing a fraction visually (Opens a modal)
  • Decomposing a mixed number (Opens a modal)
  • Decomposing fractions review (Opens a modal)
  • Decompose fractions visually Get 3 of 4 questions to level up!
  • Decompose fractions Get 5 of 7 questions to level up!

Adding and subtracting fractions with like denominators

  • Adding fractions with like denominators (Opens a modal)
  • Subtracting fractions with like denominators (Opens a modal)
  • Add fractions with common denominators Get 5 of 7 questions to level up!
  • Subtract fractions with common denominators Get 5 of 7 questions to level up!

Adding and subtracting fractions: word problems

  • Fraction word problem: pizza (Opens a modal)
  • Fraction word problem: spider eyes (Opens a modal)
  • Fraction word problem: piano (Opens a modal)
  • Add and subtract fractions word problems (same denominator) Get 5 of 7 questions to level up!

Mixed numbers

  • Writing mixed numbers as improper fractions (Opens a modal)
  • Writing improper fractions as mixed numbers (Opens a modal)
  • Comparing improper fractions and mixed numbers (Opens a modal)
  • Mixed numbers and improper fractions review (Opens a modal)
  • Write mixed numbers and improper fractions Get 5 of 7 questions to level up!

Adding and subtracting mixed numbers

  • Intro to adding mixed numbers (Opens a modal)
  • Intro to subtracting mixed numbers (Opens a modal)
  • Add and subtract mixed numbers (no regrouping) Get 5 of 7 questions to level up!
  • Add and subtract mixed numbers (with regrouping) Get 3 of 4 questions to level up!

Adding and subtracting mixed numbers word problems

  • Fraction word problem: lizard (Opens a modal)
  • Subtracting mixed numbers with like denominators word problem (Opens a modal)
  • Add and subtract mixed numbers word problems (like denominators) Get 3 of 4 questions to level up!

Fractions with denominators of 10 and 100

  • Visually converting tenths and hundredths (Opens a modal)
  • Decomposing hundredths (Opens a modal)
  • Decomposing hundredths on number line (Opens a modal)
  • Adding fractions (denominators 10 & 100) (Opens a modal)
  • Adding fractions: 7/10+13/100 (Opens a modal)
  • Equivalent fractions with fraction models (denominators 10 & 100) Get 5 of 7 questions to level up!
  • Equivalent fractions (denominators 10 & 100) Get 5 of 7 questions to level up!
  • Decompose fractions with denominators of 100 Get 3 of 4 questions to level up!
  • Equivalent expressions with common denominators (denominators 10 & 100) Get 5 of 7 questions to level up!
  • Add fractions (denominators 10 & 100) Get 3 of 4 questions to level up!

Line plots with fractions

  • Making line plots with fractional data (Opens a modal)
  • Interpreting line plots with fractions (Opens a modal)
  • Reading a line plot with fractions (Opens a modal)
  • Graph data on line plots (through 1/8 of a unit) Get 3 of 4 questions to level up!
  • Interpret line plots with fraction addition and subtraction Get 3 of 4 questions to level up!

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CHAPTER 2 Operations with Rational Numbers and Introduction to Real Numbers

2.2 Add and Subtract Fractions

Learning Objectives

By the end of this section, you will be able to:

  • Add or subtract fractions with a common denominator
  • Add or subtract fractions with different denominators
  • Use the order of operations to simplify complex fractions
  • Evaluate variable expressions with fractions

Add or Subtract Fractions with a Common Denominator

When we multiplied fractions, we just multiplied the numerators and multiplied the denominators right straight across. To add or subtract fractions, they must have a common denominator.

Fraction Addition and Subtraction

a,b,\phantom{\rule{0.2em}{0ex}}\text{and}\phantom{\rule{0.2em}{0ex}}c

To add or subtract fractions, add or subtract the numerators and place the result over the common denominator.

\frac{x}{3}+\frac{2}{3}

Now we will do an example that has both addition and subtraction.

\frac{3}{8}+\left(-\phantom{\rule{0.2em}{0ex}}\frac{5}{8}\right)-\phantom{\rule{0.2em}{0ex}}\frac{1}{8}

Add or Subtract Fractions with Different Denominators

As we have seen, to add or subtract fractions, their denominators must be the same. The least common denominator (LCD) of two fractions is the smallest number that can be used as a common denominator of the fractions. The LCD of the two fractions is the least common multiple (LCM) of their denominators.

Least Common Denominator

The least common denominator (LCD) of two fractions is the least common multiple (LCM) of their denominators.

After we find the least common denominator of two fractions, we convert the fractions to equivalent fractions with the LCD. Putting these steps together allows us to add and subtract fractions because their denominators will be the same!

\frac{7}{12}+\frac{5}{18}

HOW TO: Add or Subtract Fractions

  • Yes—go to step 2.
  • No—rewrite each fraction with the LCD (least common denominator). Find the LCD. Change each fraction into an equivalent fraction with the LCD as its denominator.
  • Add or subtract the fractions.
  • Simplify, if possible.

When finding the equivalent fractions needed to create the common denominators, there is a quick way to find the number we need to multiply both the numerator and denominator. This method works if we found the LCD by factoring into primes.

Look at the factors of the LCD and then at each column above those factors. The “missing” factors of each denominator are the numbers we need.

The number 12 is factored into 2 times 2 times 3 with an extra space after the 3, and the number 18 is factored into 2 times 3 times 3 with an extra space between the 2 and the first 3. There are arrows pointing to these extra spaces that are marked “missing factors.” The LCD is marked as 2 times 2 times 3 times 3, which is equal to 36. The numbers that create the LCD are the factors from 12 and 18, with the common factors counted only once (namely, the first 2 and the first 3).

The numerator 12 has two factors of 2 but only one of 3—so it is “missing” one 3—we multiply the numerator and denominator by 3

The numerator 18 is missing one factor of 2—so we multiply the numerator and denominator by 2

We will apply this method as we subtract the fractions in (Example 6) .

\frac{7}{15}-\phantom{\rule{0.2em}{0ex}}\frac{19}{24}

Do the fractions have a common denominator? No, so we need to find the LCD.

Do not simplify the equivalent fractions! If you do, you’ll get back to the original fractions and lose the common denominator!

\frac{13}{24}-\phantom{\rule{0.2em}{0ex}}\frac{17}{32}

In the next example, one of the fractions has a variable in its numerator. Notice that we do the same steps as when both numerators are numbers.

\frac{3}{5}+\frac{x}{8}

The fractions have different denominators.

\frac{y}{6}+\frac{7}{9}

We now have all four operations for fractions. The table below summarizes fraction operations .

To multiply or divide fractions, an LCD is NOT needed. To add or subtract fractions, an LCD is needed.

\frac{5x}{6}-\phantom{\rule{0.2em}{0ex}}\frac{3}{10}

First ask, “What is the operation?” Once we identify the operation that will determine whether we need a common denominator. Remember, we need a common denominator to add or subtract, but not to multiply or divide.

\frac{27a-32}{36}

Use the Order of Operations to Simplify Complex Fractions

\frac{\frac{3}{4}}{\frac{5}{8}}

Now we’ll look at complex fractions where the numerator or denominator contains an expression that can be simplified. So we first must completely simplify the numerator and denominator separately using the order of operations. Then we divide the numerator by the denominator.

\frac{{\left(\frac{1}{2}\right)}^{2}}{4+{3}^{2}}

HOW TO: Simplify Complex Fractions

  • Simplify the numerator.
  • Simplify the denominator.
  • Divide the numerator by the denominator. Simplify if possible.

\frac{\frac{1}{2}+\frac{2}{3}}{\frac{3}{4}-\phantom{\rule{0.2em}{0ex}}\frac{1}{6}}

It may help to put parentheses around the numerator and the denominator.

TRY IT 10.1

\frac{\frac{1}{3}+\frac{1}{2}}{\frac{3}{4}-\phantom{\rule{0.2em}{0ex}}\frac{1}{3}}

TRY IT 10.2

\frac{\frac{2}{3}-\phantom{\rule{0.2em}{0ex}}\frac{1}{2}}{\frac{1}{4}+\frac{1}{3}}

Evaluate Variable Expressions with Fractions

We have evaluated expressions before, but now we can evaluate expressions with fractions. Remember, to evaluate an expression, we substitute the value of the variable into the expression and then simplify.

x+\frac{1}{3}

TRY IT 11.1

x+\frac{3}{4}

TRY IT 11.2

y+\frac{1}{2}

TRY IT 12.1

-\phantom{\rule{0.2em}{0ex}}\frac{1}{2}-y

TRY IT 12.2

-\phantom{\rule{0.2em}{0ex}}\frac{3}{8}-y

Substitute the values into the expression.

TRY IT 13.1

3a{b}^{2}

TRY IT 13.2

4{c}^{3}d

The next example will have only variables, no constants.

\frac{p+q}{r}

TRY IT 14.1

\frac{a+b}{c}

TRY IT 14.2

\frac{x+y}{z}

Key Concepts

\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

  • Do they have a common denominator? Yes—go to step 2. No—Rewrite each fraction with the LCD (Least Common Denominator). Find the LCD. Change each fraction into an equivalent fraction with the LCD as its denominator.
  • Simplify, if possible. To multiply or divide fractions, an LCD IS NOT needed. To add or subtract fractions, an LCD IS needed.

Practice Makes Perfect

Add and subtract fractions with a common denominator.

In the following exercises, add.

Mixed Practice

In the following exercises, simplify.

In the following exercises, add or subtract.

In the following exercises, evaluate.

Everyday Math

Writing exercises, attributions.

This chapter has been adapted from “Add and Subtract Fractions” in Elementary Algebra (OpenStax) by Lynn Marecek and MaryAnne Anthony-Smith, which is under a CC BY 4.0 Licence . Adapted by Izabela Mazur. See the Copyright page for more information.

Introductory Algebra by Izabela Mazur is licensed under a Creative Commons Attribution 4.0 International License , except where otherwise noted.

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  1. learning focus - Maneuvering the Middle

    Homework 5 DAY Il Fraction Operations Unit Test Unit Test DAY 2 Adding and Subtracting Fractions Student Handout 2 Homework 2 DAY 7 Dividing Fractions Il Student Handout 6 Homework 6 NOTES ccss OVERVIEW 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions

  2. Add and subtract fractions | 5th grade | Math | Khan Academy

    Learn Visually adding fractions: 5/6+1/4 Visually subtracting fractions: 3/4-5/8

  3. 11.2: Adding and Subtracting Fractions - Mathematics LibreTexts

    One cannot add pies, one cannot add children. One must add instead the amounts individual kids receive. Example: 2/7 + 3/7 Let us take it slowly. Consider the fraction 2 7. Here is a picture of the amount an individual child receives when two pies are given to seven kids: Consider the fraction 3 7.

  4. Understand fractions | Arithmetic | Math | Khan Academy

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  5. Fractions: Adding and Subtracting Fractions - GCFGlobal.org

    The numerators show the parts we need, so we'll add 3 and 1. 3 plus 1 equals 4. Make sure to line up the 4 with the numbers you just added. The denominators will stay the same, so we'll write 5 on the bottom of our new fraction. 3/5 plus 1/5 equals 4/5. So you'll need 4/5 of a cup of oil total to make your cake.

  6. Add and subtract fractions | Khan Academy

    Unit 1 Place value Unit 2 Addition, subtraction, and estimation Unit 3 Multiply by 1-digit numbers Unit 4 Multiply by 2-digit numbers Unit 5 Division Unit 6 Equivalent fractions and comparing fractions Unit 7 Add and subtract fractions Unit 8 Multiply fractions Unit 9 Understand decimals Course challenge

  7. Adding or Subtracting Unit Fractions | Algebra | Study.com

    Step 2: Convert each unit fraction to a fraction with a denominator equal to the denominator found in step 1. One of the fractions already has a denominator of 8. To convert the other fraction ...

  8. 2.2 Add and Subtract Fractions – Introductory Algebra

    Fraction Addition and Subtraction: If are numbers where , then and . To add or subtract fractions, add or subtract the numerators and place the result over the common denominator. Strategy for Adding or Subtracting Fractions. Do they have a common denominator? Yes—go to step 2. No—Rewrite each fraction with the LCD (Least Common Denominator).

  9. 3.7: Add and Subtract Fractions with Different Denominators ...

    Summary of Fraction Operations. Fraction multiplication: Multiply the numerators and multiply the denominators. Fraction division: Multiply the first fraction by the reciprocal of the second. Fraction addition: Add the numerators and place the sum over the common denominator. If the fractions have different denominators, first convert them to ...