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Changing an Improper fraction to a Mixed Fraction

5 Resources to help with improper fractions

 Improper fractions to Mixed Fraction Converter   Use this converter to check your work when you are converting the fractions.

Fraction Games   Play these fun Math games to become a fraction Ninja. The more you practice fractions the better you become working with all types of fractions including improper and mixed fractions.

Mixed numbers and improper fractions blog  Clear directions on converting improper fractions to mixed fractions. 

Thoughts on Teaching Fractions  Great blog post on new and creative ideas on teaching fractions by a veteran Math teacher.

7 Fraction Shortcuts  Use these 7 fraction shortcuts to make your life a little bit easier when you are dealing with fractions.


Shortcut: Converting an Improper fraction to a mixed fraction
Follow these five steps to convert an improper fraction to a mixed number

1.Place the numerator as the dividend of a division problem.

2.The denominator becomes the divisor.

3.The quotient becomes the whole number

4.The remainder becomes the numerator of the mixed number

5.The divisor becomes the denominator of the mixed fraction.
convert improper fraction to mixed number
There are three types of fractions

​ 


Proper      Improper      Mixed Fraction


A mixed fraction which is also called a mixed number is a combination of a whole number and a fraction.

Examples of mixed numbers

2 ⅓     5 ½      6 ⅛

Let’s break down a mixed number











You may be asked to convert an improper fraction to a mixed fraction. 


Follow these steps

Step 1. Divide the numerator of the improper fraction by the denominator.

Step 2. After dividing the numerator the whole number becomes the whole number of the mixed fraction.

Step 3. The remainder becomes the numerator of the fraction

Step 4. The denominator of the improper fraction becomes the denominator of the mixed fraction

For example, 7/6

7 divided by 6 = 1 with a remainder of 1
The whole number is 1 and the fraction is 

1  1/6 mixed number

9/5

9 divided by 5 = 1 with a remainder of 4
The whole number is 1 and the fraction is 

1 4/5 mixed number

9/2

9 divided by 2 = 4 with remainder of 1
The whole number is 4 and the fraction is ½

4 1/2 Mixed Fraction 

7/6

7 divided by 6 = 1 with a remainder of 1
The whole number is 1 and the fraction is 

⅙ Mixed Fraction

6/3 

6 divided by 3 = 2 and no remainder
Whole number = 2

What about converting a mixed number to an improper fraction?

2 ⅔

Multiply the denominator and the whole number. 3 x 2 = 6
Add this answer to the numerator. 6 + 2 = 8
This answer equal the numerator of the improper fractions

Put this over the denominator 8/3

2 ¾
4 x 2 = 8
8 + 3 = 11
11/4

3/4            6/5            2 1/5

Alternate method: Improper fraction to a mixed number

improper fraction
An improper fraction is a fraction in which the numerator is larger than the denominator. 

In other words the top number is larger than the bottom number. Notice in these examples of improper fractions that the numerator is larger than the denominator.

7/6 7 is greater than 6
 
9/5 9 is greater than 5 

9/2 9 is greater than 2

Improper Fraction
mixed fraction