# Making Improper Fractions Into Mixed Numbers

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## Making Improper Fractions Into Mixed Numbers

In mathematics, improper fractions are fractions in which the numerator (top half) is a number greater than or equal to the denominator (bottom half). To convert an improper fraction into a mixed number (one that contains a fraction and a whole number, such as 2 and 3/4), divide the numerator by the denominator. Write the whole number answer with the remainder next to the fraction in the original numerator and denominator – now you have a mixed fraction!

### Fractions Review Activity

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To convert an improper fraction into a mixed number, begin by writing the fraction as a division problem. Divide the numerator by the denominator. For example, if the improper fraction is 7/5, write it as 7 ÷ 5. Then write the whole number of the answer. In our example, 5 is divided by 7 once, so the whole number is 1. This leaves us with a remainder of 2. The remainder will be the new numerator in the fraction, and the denominator will remain unchanged. So in the 7/5 example, you get 7 ÷ 5 = 1 remainder 2. To express this as a fraction, write it as 1 and 2/5. If you want to convert it to an improper fraction, multiply the whole number by the denominator and add the product to the numerator. The sum becomes the new denominator in your improper fraction, while the denominator remains the same. If you want to know how to check your answer to make sure your mixed number is correct, keep reading! If you want a calculator to do the hard work for you, try our improper fraction calculator.

The calculator converts any mixed number to an improper fraction or improper fraction to a mixed number.

## Different Types Of Fractions: An Overview Of Proper, Improper, Mixed, And Like Fractions

If you want to learn how to do this yourself, skip this section and read on.

Frazer says, “The important thing to remember when converting an improper fraction to a mixed fraction is that the fraction means dividing the numerator by the denominator.”

Fraser says, “You can convert a mixed fraction or mixed number to an improper fraction by following these two simple steps:

### Question Video: Converting Improper Fractions To Mixed Numbers

Change the whole number to a fraction by multiplying the part by the denominator, then place the denominator.

This short video guide shows several problems on Converting Mixed Numbers to Improper Fractions 1 Worksheet, produced and released by the West Explains Best math channel.

If you’re not ready for the worksheets on this page, we also have simple visual improper fraction conversion worksheets.

## How To Express Mixed Fractions As Improper Fractions

Here you will find simple information and tips on converting decimals to fractions. Before you know how to do this, you must also know how to simplify the parts.

You’ll also find a printable resource sheet and some practice sheets to help you understand and practice this math skill.

Here you will find some support and practice sheets to test your skills in converting fractions to simpler form.

### How To Turn An Improper Fraction Into A Mixed Number: 11 Steps

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### Improper Fractions And Mixed Numbers

We’ve updated and improved our fraction calculators to show you how to solve fraction problems step by step!

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If you are a regular user of our site and appreciate our work, please consider making a small donation to help with our costs. To convert to a mixed number, enter an improper fraction in the fields below. The calculator shows all the work so you can follow and learn the steps.

The quotient is the whole number in the fraction, and the remainder is the numerator in the mixed fraction.

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Bailey is an experienced educator and specializes in K-12 math and science. He has a master’s degree in vocational education and holds several teaching certificates.

### Convert Improper Fraction

An improper fraction is a fraction whose numerator is greater than or equal to the denominator. Therefore, the value of the fraction is greater than or equal to 1.

The first step in the conversion is to use long division to find the quotient and remainder. These will be used in the next step.

In long division by a fraction, the numerator is the dividend, and the denominator is the denominator.

#### Year 5 Add Mixed Numbers Reasoning Practice

The second step is to divide the fraction as a mixed number and rewrite the remainder from the previous step with the original divisor.

To convert, set the quotient as a whole number, the remainder as the numerator, and the original denominator as the denominator.

For example, we use the quotient and remainder from the previous step to rewrite 7/3 as a mixed number.

### Converting Improper Fractions To Mixed Numbers Boom Cards

This method works well for converting a fraction to a mixed number, but you may also like our Fraction Simplifier for simplifying fractions smaller than 1. Converting Improper Fractions to Mixed Numbers: Your Complete Guide How to Convert Improper Fractions to Mixed Numbers?

Welcome to this free lesson guide on Converting Improper Fractions to Mixed Numbers, where you’ll learn the answers to the following basic questions:

This is Converting Improper Fractions to Mixed Numbers: A Complete Guide with several examples, a step-by-step tutorial, an animated video mini-lesson, and a free worksheet and answer key.

### Improper Fraction Worksheets

Before learning how to convert improper fractions to mixed numbers, you should first understand some basic vocabulary. What is a mixed number?

A mixed number is a number that consists of a whole number, such as 3, and a proper fraction, such as (2/5), as shown in the example below:

Note that a mixed number is also the sum of a whole number and a fraction. The numbers shown in Figure 1 and Figure 2 represent the same mixed number. The plus sign is usually not included, but understanding this relationship will help you later!

## Printable Mixed Numbers And Improper Fractions Worksheets For Grade 7

What is a proper fraction and an improper fraction? What is the difference between a proper fraction and an improper fraction?

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction whose numerator is greater than the denominator.

### Improper Fraction Activities And Games

Now you’re ready to start converting improper fractions to mixed numbers from the example above (5/4).

, we can consider this example in monetary terms and replace each (1/4) with a quarter coin:

This situation can be visualized by looking at Figure 3 below. Use this kind of thinking to solve future problems involving converting improper fractions to mixed numbers!

### Dividing Mixed Numbers

* Begin by noting that dividing 13 by 6 leaves a remainder of 1, or 2R1, equal to 2.

Combining these values ​​(finding the sum): 1 + 1 + (1/6), there is a mixed number.

This makes sense considering that 13 divided by 6 is equal to 2 and equals 1.

#### Convert Each Of The Following Into An Improper Fraction: 8 57

To learn more about converting improper fractions to mixed numbers and for more free practice problems, watch the video lesson below:

Looking for more experience? Click on the links below to download free worksheets and answer key: This post contains links to Amazon products. If you purchase items through these links, you will receive a small percentage of each sale.

Let’s continue learning fractions. This week the children learned how to convert an improper fraction into a mixed number.

#### Multiplying Proper Fractions And Mixed Numbers By Whole Numbers (2) (year 5)

Now they are long term experts, so the actual process of finding the answer is very easy for them. However, keep in mind that this number goes where it seems difficult, especially for Bulldozer.

Both my husband and I are working to help him through this process, but after three days he is still really struggling with it and a little frustrated. So we decided to make a visual for it.

I’ve color coded them to help you understand which numbers go where throughout the process. The bulldozer is happy until it uses this resource