Mixed Number to Improper Fraction

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For an improper fraction the numerator is always larger or same as the denominator. For example is an improper fraction as numerator 11 is greater than denominator 5.

A mixed number is the one which has both a whole number and proper fraction. For example 3 is mixed fraction with 3 as a whole number and as a proper fraction.


 

Example 1: Convert the mixed number 8 to an improper fraction.

Here 8 is the whole number and is the proper fraction.

Conversion to an improper fraction involves 3 steps.

Step 1: Multiplication of whole number to the denominator

8 x 3 = 24

Step 2: Adding the result of step 1 to the numerator.

24 + 2 = 26

Step 3: Writing it into a fraction with same denominator

 

Hence the improper fraction is equal to .

 

Example 2: Convert the mixed number 9 to an improper fraction.

Here 9 is the whole number and is the proper fraction.

Conversion involves 3 steps.

Step 1: Multiplication of whole number to the denominator

9 x 6 = 54

Step 2: Adding the result in step 1 with numerator

54 + 3 = 57

Step 3: Writing the result as a fraction with same denominator.

 

Step 4: Simplify if applicable

=

Hence the improper fraction is .

 

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