Conversion between Mixed Fractions and Improper Fractions

A fraction consists of two numbers. The number on top is called numerator and the number on the bottom is called denominator, written as:

 

 

 

An improper fraction has numerator greater than denominator e.g 8/5, 9/2

A mixed fraction is consist of a integer and a proper fraction e.g 3 4/6

Improper fraction and mixed fraction are interchangeable.

Improper fraction to mixed fraction

To convert an improper fraction to a mixed fraction, the following steps are followed:

1. Divide numerator (N) by the denominator (D) which will result into a whole number quotient (Q) and a remainder ( R).
2. Write down the whole number quotient (Q) and remainder (R) above the denominator (D).

The remainder becomes the numerator of fraction part and the denominator remains same as that of improper fraction.

 

 

 

 

 

 

 

 

 

 

 

 

Mixed fraction to Improper fraction

To convert a mixed fraction to an improper fraction, the following steps are followed:

1. Multiply the denominator (D) and the whole number (W) part.
2. Add the numerator (N) to the product of step 1.
3. Write the result of step 2 on the top of the original denominator (D).

 

 

 

 

 

 

 

 

 

 

 

 

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