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Objective

Write fractions in simplest form

Vocabulary

Equivalent fractions

Fractions that have the same value

Vocabulary

Simplest form

When the greatest common factor (GCF) of the numerator and denominator is 1

Example 1 Write Fractions in Simplest Form

Example 2 Write Fractions in Simplest Form

Example 3 Use Fractions to Solve a Problem

Write in simplest form.

12 45

Prime factor both the numerator and denominator

262

3

593

3

3

1/3

Circle factors that are common in each number and write as factors

Multiply common factors

There is only one common factor so it is the GCF

GCF = 3

Write in simplest form.

Divide the numerator by the GCF of 3

Answer:

1/3

Divide the denominator by the GCF of 3

GCF = 3

Write in simplest form.

Answer:

1/3

Write in simplest form.

Prime factor both the numerator and denominator

40 642202

102

5

2

32216282422

2 2 2

8

2/3

Circle factors that are common in each number and write as factors

Multiply common factorsIdentify as GCF GCF = 8

Write in simplest form. GCF = 8

2/3

Divide the numerator by the GCF of 8

Divide the denominator by the GCF of 8

Answer:

Write in simplest form.

Answer:

2/3

MUSIC Two notes form a perfect fifth if the simplified

fraction of the frequencies of the notes equals If

note Hertz and note Hertz, do

they form a perfect fifth?

Form fraction

Prime factor both numbers to find the GCF of 294 and 392

3/3

294 3922

1473497

7

21962

982

4977

2 7 7

98GCF = 98

3/3

Circle factors that are common in each number and write as factors

Multiply the common factors

Identify as GCF

294 98

392 98

GCF = 98

3

4

Do they form a perfect fifth?

3/3

Divide the numerator by the GCF of 98

Divide the denominator by the GCF of 8

MUSIC Two notes form a perfect fifth if the simplified

fraction of the frequencies of the notes equals

Answer: Yes they form a perfect fifth

MARBLES In a bag of 96 marbles, 18 of the marbles are black. Write the fraction of black marbles in simplest form.

Answer:

*

3/3

Assignment

Lesson 5:3 Simplifying Fractions 8 - 28 All