Definition: two fractions with the same value

How do you find them? Multiply or divide by a “Giant One”.

Example: x =

One reason to use them: to add and subtract fractions.

Example:

A different reason to use them: to simplify fractions

Example:

Equivalent Fractions

2

1

2

2

4

2

Mixed Numbers

Improper Fractions

Easier to picture … Simplest Form

Harder to picture the value of …Easier to work with

How can you move from mixed numbers to improper fractions?

Step 1: multiply the whole number by the denominator.Step 2: add that product to the numeratorStep 3: place that sum over the given denominator.

Example:

2

Step 1: 2x4=8

Step 2: 8+3=11

Step 3:

How can you move from improper fractions to mixed numbers?

Step 1: Divide the numerator by the denominator to get a whole numberStep 2: Put the remainder over the denominator. Simplify.

Example:

__9Step 1: 4/ 38 - 36

__9 = 9 Step 2: 4/ 38 - 36 2

4

2

4

34

38

4

11

4

2

2

1