Simplifying Fractions

Objective

Know how simplify a fraction

Example

Simplify.

144

108

Answer:

1

2

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Explanation

By now you've learned how to reduce a fraction. You've also learned how to convert an improper fraction to a mixed number. Simplifying just means doing both of those to the same fraction

To simplify

  • If the fraction can be reduced, reduce it

  • If the fraction is improper, convert it to a mixed number

That's all!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Examples

Example 1

Express each fraction in its simplest form.

20

16

20 ÷ 2 = 10

16 ÷ 2 = 8

10

8

10 ÷ 2 = 5

8 ÷ 2 = 4

5

4

5 ÷ 4 = 1 remainder 1

1

1

4

Answer:

1

1

4

Example 2

Simplify.

48

36

48 ÷ 12 = 4

36 ÷ 12 = 3

4

3

4 ÷ 3 = 1 remainder 1

1

1

3

Answer:

1

1

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Practice your skills

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Ready?