# Improper Fractions

## Definitions

There are 3 types of fractions

 Fraction type Condition Examples Proper Fraction Numerator < Denominator  Improper Fraction Numerator > Denominator  Mix Fraction A whole number + proper fraction  So, An Improper Fraction is a fraction that has a top number larger than (or equal to) the bottom number.

## Converting Improper Fractions to Mixed Fractions

How to convert an improper fraction to a mixed fraction ?

1. Divide the numerator by the denominator.
2. Write down whole number answer
3. Write down any remainder (R) above the denominator.

### Examples

 Improper Fraction Step 1 Step 2 Step 3 Mix Fraction  4 ÷ 3 = 1 R 1 1      11 ÷ 4 = 2 R 3 2      19 ÷ 5 = 3 R 4 3    ## Converting Mixed Fractions to Improper Fractions

How to convert a mixed fraction to an improper fraction ?

1. Multiply the whole number part by the denominator of fraction part.
2. Add that to the numerator of fraction part.
3. Then write the result on top of the denominator.

### Examples

 Mix Fraction Step 1 Step 2 Improper Fraction  5 × 3 = 15 15 + 4 = 19    2 × 4 = 8 8 + 3 = 11    3 × 1 = 3 3 + 1 = 4  