# Improper Fractions and Mixed Numbers

To help us better understand mixed numbers and improper fractions, we like to imagine them as pizzas or legos.Pick whichever you vibe with more:

INTRO

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A mixed number tells us how many whole numbers and parts we have, and an improper fraction tells us how many total parts we have when the parts make up at least one whole.They're just two ways of saying the same thing 👯.

We can use an improper fraction and a mixed number to represent the same thing. For example, we can either say we have 2 whole pizzas and 3 slices of pizza, where 4 slices make up a whole:

$243 $Or we can say we have $11$ slices of pizza where 4 slices make up a whole:

$411 $Check out our or explore our and sections to learn more about improper fractions and mixed numbers and test your understanding.

Calculator

Lesson

Practice

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CALCULATOR

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## Improper Fraction to Mixed Number Calculator

## Mixed Number to Improper Fraction Calculator

Convert a

KEY STEPS

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## How to Convert from Improper Fractions to Mixed Numbers

## How to Convert from Mixed Numbers to Improper Fractions

Convert a

### Step 1. Explain the fraction.

$9$

$4$

$4$

$}# equal-sized parts$

$}# parts in a whole$

### Step 2. Set up the conversion.

We want to split up our fraction into a whole number and the leftover fraction:

In pizza terms, this is like figuring out how many whole pizzas and leftover slices there are:$9$

$4$

$4$

$4$

$fourth-sized slicesnine − $

$pizzas# whole − $

$leftover# slices − $

### Step 3. Find the whole number.

This is equal to the number of times the denominator goes into the numerator and tells us how many whole numbers we can make from the total number of equal parts we have.

In pizza terms, we're figuring out how many whole pizzas we can make:$9$

$4$

$4$

$2$

$+$$4$

$fourth-sized slicesnine − $

$pizzas2 whole − $

$leftover# slices − $

### Step 4. Find the leftover/remainder.

$leftover =total # of parts−(whole number×# parts in each whole)=total # of parts−# parts used for wholes $

In pizza terms, this is like finding the leftover slices after forming our whole pizzas:

Ex: $=$

$4$

$9$

$4$

$4$

$2$

$+$$1$

$4$

$fourth-sized slicesnine − $

$pizzas2 whole − $

$leftover1 slices − $

### Step 5. Drop the plus sign.

Ex: $49 =2+41 =241 $

LESSON

— Converting Improper Fractions to Mixed Numbers

## Converting Improper Fractions to Mixed Numbers

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. It tells us how many equal-sized parts there are and how big the parts are.

$7$

$4$

$4$

$}# equal-sized parts$

$}# parts in a whole$

So, if we have $7$ slices where $4$ slices make up a whole pizza, then we can make $1$ whole pizza, with $3$ slices leftover:

### Improper Fraction

$47 $### Mixed Number

$143 $PRACTICE

— Converting Improper Fractions to Mixed Numbers

## Practice: Converting Improper Fractions to Mixed Numbers

Question 1 of 10: Convert $718 $ into a mixed number.

### Step 1. Explain the fraction.

$18$

$7$

$7$

$}# equal-sized parts$

$}# parts in a whole$

LESSON

— Converting Mixed Numbers to Improper Fractions

## Converting Mixed Numbers to Improper Fractions

A mixed number is a combination of a whole number and a fraction. It tells us how many whole numbers there are and many leftover parts there are.

$2$

$+$$3$

$5$

$5$

$}# parts leftover$

$}# parts in a whole$

$numberwhole − $

If we have $2$ whole pizzas where $4$ slices make up a whole pizza, then we have $2×5=10$ slices. Adding that to the $3$ slices leftover, we have a total of $10+3=13$ slices:

### Mixed Number

$253 $### Improper Fraction

$513 $PRACTICE

— Converting Mixed Numbers to Improper Fractions

## Practice: Converting Mixed Numbers to Improper Fractions

Question 1 of 10: Convert $243 $ into an improper fraction.

### Step 1. Add the plus sign.

Add in the hidden plus sign between the whole number and fraction.

$243 $$=$$2$$43 $

CONCLUSION

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Incredible job, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?

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