## Solving One-Step Equations with Mixed Numbers

## Solving One-Step Linear Equations with Mixed Numbers

A mixed number is a number expressed as the sum of a whole number and a fractions , such as 3 1 4 .

Rewrite the mixed number as an improper fraction.

Divide the numerator and the denominator by the GCF, 2 .

Rewrite the mixed numbers as improper fractions.

The inverse operation of division is multiplication.

You can cancel common factors before you multiply.

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## Equations with Mixed Numbers/Improper Fractions

- Absolute Value
- Real Functions: Identity Function
- Real Functions: Constant Functions
- Real Functions: Linear Functions
- Real Functions: Power Functions
- Real Functions: Root Functions
- Functions: Even and Odd Functions
- Functions: One-to-One Functions
- Functions: Vertical Line Test for Functions
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- Inverse Functions
- Inverse Functions: Horizontal Line Test for Invertibility
- Linear Equations
- Distance Between Points in the Cartesian Plane
- Slope of a Line
- Simple Interest Formula
- Compound Interest Formula
- Continuously Compounded Interest Formula
- Linear Inequalities
- Determinants
- Cramer's Rule
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- Completing the Square
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- Complex Numbers
- Complex Numbers: Complex Conjugates
- Equations Containing Radicals
- Calculating pH
- Solving Exponential Equations
- Cartesian Coordinate System
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- Conic Sections: Ellipse
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- Mathematical Induction
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- Word Problems: Direct Variation
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- Word Problems: Ideal Gas Law
- Word Problems: Age Related

## Mixed Fractions

(Also called " Mixed Numbers ")

A Mixed Fraction is a whole number and a proper fraction combined. Such as 1 3 4

We can give names to every part of a mixed fraction:

## Three Types of Fractions

There are three types of fraction:

## Mixed Fractions or Improper Fractions

We can use either an improper fraction or a mixed fraction to show the same amount.

For example 1 3 4 = 7 4 , as shown here:

## Converting Improper Fractions to Mixed Fractions

To convert an improper fraction to a mixed fraction, follow these steps:

- Divide the numerator by the denominator.
- Write down the whole number answer
- Then write down any remainder above the denominator.

## Example: Convert 11 4 to a mixed fraction.

Write down the 2 and then write down the remainder (3) above the denominator (4).

That example can be written like this:

## Example: Convert 10 3 to a mixed fraction.

Converting mixed fractions to improper fractions.

To convert a mixed fraction to an improper fraction, follow these steps:

- Multiply the whole number part by the fraction's denominator.
- Add that to the numerator
- Then write the result on top of the denominator.

## Example: Convert 3 2 5 to an improper fraction.

Multiply the whole number part by the denominator:

Then write that result above the denominator:

We can do the numerator in one go:

## Example: Convert 2 1 9 to an improper fraction.

But, for everyday use , people understand mixed fractions better.

Example: It is easier to say "I ate 2 1 4 sausages", than "I ate 9 4 sausages"

## How Do You Solve an Equation Where You're Multiplying Fractions?

## Background Tutorials

Converting decimals and fractions.

## How Do You Turn an Improper Fraction Into a Mixed Fraction?

## Multiplying Fractions

## How Do You Multiply Fractions?

## Dividing Fractions

## What's a Reciprocal?

## What's an Improper Fraction?

## Evaluating Expressions

## How Do You Evaluate an Algebraic Expression?

## What is a Variable?

## Solving Equations by Multiplying

## What's the Multiplication Property of Equality?

## Further Exploration

Solving one-step fraction equations.

## How Do You Solve a Word Problem Using an Equation Where You're Multiplying Fractions?

## Solving Multi-Step Fraction Equations

## How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?

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## Unit 2: Lesson 1

- Why we do the same thing to both sides: Variable on both sides
- Intro to equations with variables on both sides
- Equations with variables on both sides: 20-7x=6x-6

## Equation with variables on both sides: fractions

## Want to join the conversation?

## Video transcript

## Mixed Fractions

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

Example : 2(1/7), where 2 is a whole number and 1/7 is a fraction.

## How to convert Improper fraction to a mixed fraction?

- Step 1: Divide the Fraction’s numerator with the denominator, i.e. 15/7.
- Step 2: The integer part of the answer will be the integer part for a mixed fraction, i.e. 2 is an integer.
- Step 3: The Denominator will be the same as original, i.e 7.
- Step 4: So, the improper fraction 15/7 is changed to a Mixed fraction as 2 (1/7)

## Mixed fraction to Improper Fraction

- Step 1: Multiply the denominator with the whole number, i.e. Multiply 7 with 2 in the given example, 2(1/7).
- Step 2: Add the numerator of the Fraction to the result in step 1. i.e., Add 1+ 14
- Step 3: Keep the Denominator same i.e. 7.
- Step 4: The Improper fraction obtained is: 15/7.

## Adding Mixed Fractions

Here’s a step-wise method to add the improper fraction with same or different denominators.

## Subtracting Mixed Fractions

## Multiplying Mixed Fractions

Step 1 : Convert the mixed into an improper fraction. 17/6 × 7/2

Step 3 : You can convert the fraction into the simplest form or Mixed one = 119 / 12 or 9 (11/12)

## Definition of Fraction

In simple words, the ratio of the two numbers is called a fraction.

A fraction can represent part of a whole .

## Kinds of Fractions

There are three types of fractions. Below given table defines all three of them.

## Mixed Equivalent Fractions

How can we find mixed equivalent fractions? Let us find the answer to this question here.

For example, 5/2 and 10/4 are two equivalent fractions.

Hence, for both mixed fractions 2 1 / 2 and 2 2 / 4 , the quotient value is equal to 2.

## Video Lesson on Fractions

## Frequently Asked Questions – FAQs

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## IMAGES

## VIDEO

## COMMENTS

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To solve an equation that has a mixed number coefficient, we convert the mixed number to an improper fraction as the first step. Some linear equations can

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