Fractions In Simplest Form Worksheet printable pdf download

Fractions In Simplest Form Worksheet

Lesson 4-4

Example 1 Write a Fraction in Simplest Form

Write

in simplest form.

Method 1 Divide by common factors.

12 2

2 is a common factor of 12 and 18, so divide by 2.

18 2

6 3

3 is a common factor of 6 and 9, so divide by 3.

9 3

The fraction

is in simplest form since 2 and 3 have no common factors greater than 1.

Method 2 Divide by the GCF.

First, find the GCF of the numerator and denominator.

factors of 12: 1, 2, 3, 4, 6, 12

factors of 18: 1, 2, 3, 6, 9, 18

The GCF of 12 and 18 is 6.

Then, divide the numerator and denominator by the GCF, 6.

12 6

18 6

So,

written in simplest form is

Example 2 Write Fractions in Simplest Form

Write

in simplest form.

First, find the GCF of the numerator and denominator.

factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

factors of 32: 1, 2, 4, 8, 16, 32

The GCF of 24 and 32 is 8.

Then, divide the numerator and denominator by the GCF, 8.

24 8

32 8

So,

written in simplest form is

Fractions In Simplest Form Worksheet