Improper Fraction - Definition with Examples

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Improper Fraction

A fraction denotes a part of a whole or a collection.


improper fraction example 1

A fraction consists of a Numerator and a Denominator.


The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. 

example 3


How to Use Improper Fraction:

A fraction in which the numerator is equal to or greater than the denominator is called an improper fraction.

example 4

But, how do we get an improper fraction?

Imagine you order a pizza which has 6 slices. 

example -4

Your friends eat all the 6 slices. 

example 6

And you realize you didn’t get any.

example 5

You order another pizza. 


After eating 1 slice from it you realize you are done eating.

example 7 

So, how much of the pizza did your friends, and you have in all?

Your friends first had all the six slices of 1 pizza, and then you had 1 slice out of the size from the second pizza.

So, the total pizza eaten is 7slices of pizza. And that’s an improper fraction with a numerator greater than the denominator. 

example 8


Types of Fractions:

There are 3 types of fractions are: 


example 9


Converting improper fraction to mixed fraction:

Follow the given steps to convert an improper fraction to a mixed fraction:

Example: Convert 7to a mixed fraction.

example 10

Step 1: Divide the numerator by the denominator. 

example 11

Step 2: Write the quotient as the whole number part. 

example 12

Step 3: For the fractional part, keep the denominator the same. 

example 13

Step 4: Write the remainder as the numerator. 


Converting mixed fraction to improper fraction

Follow the given steps to convert an improper fraction to a mixed fraction:

Example: Convert 1 3to a mixed fraction.

Step 1: Multiply the denominator and the whole number.

 example 14

Step 2: Add the numerator to the product of step 1.

            We get: 5 × 1 + 3 = 5 + 3 = 8.

example 15

This is the numerator. 

example 16

Step 3: Keep the denominator the same.   

example 17

  Fun Fact:

  • Improper fractions are easier to do calculations such as addition and subtraction, but mixed fractions are easier to understand.


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