# Manipulating and Operating of Fractions

### ...But Before You Start, know this.

Fractions represent portions of numbers, sometimes smaller and sometimes larger. When applying operations to fractions, there are a number of steps to follow.

Here are some types of fractions you will encounter in this module:

**1. Proper Fraction: ** the top number is less than the bottom number and the value of the fraction is between 0 and 1.

**2. Improper Fraction: ** the top number is more than the bottom number, and the value of the fraction is more than 1.

**3. Equivalent (or Proportional) Fractions:** two fractions that have the same value when simplified but have different numbers.

The second fraction is a multiple of the first, which makes them proportional and equivalent.

Check it out! --------------------------->

If you multiply the top and bottom by the same number you get a new fraction that is equivalent to the original.

### How can you prove they're equivalent???

When you convert both from fraction to decimal by dividing, you’ll get the same decimal for both fractions.