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:

CALCULATOR

—

## Improper Fraction to Mixed Number Calculator

## Mixed Number to Improper Fraction Calculator

Convert a

We have some questions for you! Help us out through this

INTRO

—

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

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

KEY STEPS

—

## 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

PRACTICE

— Converting Improper Fractions to Mixed Numbers

LESSON

— Converting Mixed Numbers to Improper Fractions

PRACTICE

— Converting Mixed Numbers to Improper Fractions

CONCLUSION

—

Leave Feedback