Page 142 - Math Course 1 (Book 1)

GCF: Simplifying Fractions

Mo. 4

Lesson 5 Simplify Fractions

Example

KEY CONCEPTS: 72
in simplest form.
1. Simplify fractions using the GCF. Write 120
2. Simplify algebraic fractions. 1 1 1 1
72 = 2 • 2 • 2 • 3 • 3 Divide the numerator and
120 2 • 2 • 2 • 3 • 5 the denominator by the
1 1 1 1 GCF, 2 • 2 • 2 • 3.
MO. 4 - L5a 3
= Simplify.
Simplify Fractions Using 5
the GCF

Answer = 3
5
Vocabulary A-Z
Let us learn some vocabulary

Standardized Test Example

Simplest Form
Example
A fraction is in simplest form when the Greatest
Common Factor (GCF) of the numerator and the 250 pounds is what part of 1 ton?
denominator is 1. 1 1 1 1 1
A. B. C. D. ton
10 8 4 2
Fractions in Fractions not in
Simplest Form Simplest Form Read the Test Item
The phrase what part indicates a relationship that
1 1 3 17 3 , 15 , 6 , 5 can be written as a fraction. You need to write a
, ,
,
4 3 4 50 20 60 8 20 fraction comparing 250 pounds to the number of
pounds in 1 ton.
Let’s Begin Solve the Test Item
There are 2000 pounds in 1 ton.
250
Write the fraction in simplest form.
2000
Simplify Fractions 1 1 1 1 Divide the numerator
250 = 2 • 5 • 5 • 5 and the denominator
Example 2000 2 • 2 • 2 • 2 • 5• 5• 5 by the GCF,
1
1 1 1
= 1 2 • 5 • 5 • 5.
Write 16 8
in simplest form.
24 Check
16 = 2 • 2 • 2 • 2 Factor the numerator. You can check whether your answer is correct by
24 = 2 • 2 • 2 • 3 Factor the denominator. solving the problem in a different way. Divide the
numerator and denominator by common factors
The GCF of 16 and 24 is 2 • 2 • 2 or 8. until the fraction is in simplest form.
16 = 16 ÷ 8 250 = 25
24 24 ÷ 8 Divide the numerator and 2000 200
denominator by the GCF. = 5 So, 250 pound is
1
= 2 Simplest form 40 Answer of a ton.
3 1 8
= The answer is B.
Answer = 2 8
3

134