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Improper Fraction ↔ Mixed Number Calculator

QUICK LINKS

STUDENT
TEACHER

Improper Fraction ↔ Mixed Number Calculator

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:

CALCULATOR
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Improper Fraction to Mixed Number Calculator

Mixed Number to Improper Fraction Calculator

Convert a

Step 1. Explain the fraction.

For now, ignore the negative sign.
In pizza terms, for example, means there are total slices where slices make up a whole pizza.

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:

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, since goes into times, we can make whole pizzas.

Step 4. Find the leftover/remainder.

Each of the whole pizzas has slices. So that’s slices used, which means we have slices leftover.

Step 5. Drop the plus sign.

Since the top of the fraction is , the fraction simplifies to .
So, our answer is .
We have some questions for you! Help us out through this
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.
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:
Or we can say we have slices of pizza where 4 slices make up a whole:
They're just two ways of saying the same thing 👯.
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about improper fractions and mixed numbers and test your understanding.

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
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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.

In pizza terms, for example, means there are total slices where slices make up a whole pizza.

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:

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:

Step 4. Find the leftover/remainder.

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

Step 5. Drop the plus sign.

Ex:

Step 1. Add the plus sign.

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

Step 2. Explain the mixed number.

In pizza terms, for example, means there are 2 whole pizzas and 1 slice leftover, where 4 slices make up a whole pizza.

Step 3. Set up the conversion.

We want to combine our whole number and fraction so that we can easily see the total number of equal parts we have.
In pizza terms, this is like finding the total number of equal slices there are:

Step 4. Find the new numerator.

We need to figure out how many equal sized parts are in the whole numbers and add them to the leftover parts:
In pizza terms, this is like combining the number of slices in the whole pizzas with the number of leftover slices:
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
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