1. I CAN write equivalent fractions
I CAN write equivalent fractions. I CAN write a fraction in simplest form.

2. Vocabulary
equivalent fractions
simplest form

3. Fractions that represent the same value are equivalent fractions
Fractions that represent the same value are equivalent fractions. So are equivalent fractions.
1 2
2 4
4 8 = =

4. Example 1: Finding Equivalent Fractions
Find two equivalent fractions for . 10
___ 12 10 12
___ 15 18
___ 5 6 __ = =
The same area is shaded when the rectangle is divided into 12 parts, 18 parts, and 6 parts. 10 12
___ 15 18
___ 5 6 __
So , , and are all equivalent fractions.

5. Find two equivalent fractions for .
You Try! Example 1
Find two equivalent fractions for . 4 __ 6 4 6 __ 8 12
___ 2 3 __ = =
The same area is shaded when the rectangle is divided into 6 parts, 12 parts, and 3 parts. 4 6 __ 8 12
___ 2 3 __
So , , and are all equivalent fractions.

6. Example 2: Multiplying and Dividing to Find Equivalent Fractions
A. Find the missing number that makes the fractions equivalent. 3 5 __
___
In the denominator, 5 is multiplied by 4 to get 20. = 20 3 5
______
• 4 12
____
Multiply the numerator, 3, by the same number, 4. =
• 4 20 3 5 __ 12 20
___
So is equivalent to 3 5 __ 12 20
___ =

7. Example 2: Multiplying and Dividing to Find Equivalent Fractions
B. Find the missing number that makes the fractions equivalent. 4 5 __
___ 80 =
In the numerator, 4 is multiplied by 20 to get 80. 4 5
______
• 20 80
____
Multiply the denominator, 5, by the same number, 20. =
• 20
100 4 5 __ 80
100
___
So is equivalent to 4 5 __ 80
100
___ =

8. is equivalent to is equivalent to
You Try! Example 2
Find the missing number that makes the fraction equivalent. 3 9 __ A.
___ 3 9 __ 9 27
___ =
is equivalent to 27 B. 2 4 __
___ 40 = 2 4 __ 40 80
___
is equivalent to

9. Every fraction has one equivalent fraction that is called the simplest form of the fraction. A fraction is in simplest form when the GCF of the numerator and the denominator is 1.

10. Example 3: Writing Fractions in Simplest Form
A. Write each fraction in simplest form. 20
___ 48 20 48
___
The GCF of 20 and 48 is 4, so is not in simplest form. 20 48
_______
÷ 4 5 12 __ =
Divide 20 and 48 by their GCF, 4.
÷ 4

11. Example 3: Writing Fractions in Simplest Form
B. Write the fraction in simplest form. 7 10
___ 7 10
___
The GCF of 7 and 10 is 1 so is already in simplest form.

12. Write each fraction in simplest form.
You Try! Example 3
Write each fraction in simplest form. A. 12 12 16
_______
÷ 4 3 4 __
___ = 16
÷ 4
÷ 5 2 7 __ B. 10 10 35
_______
___ = 35
÷ 5

13. Reflection
CAN YOU write equivalent fractions? CAN YOU write a fraction in simplest form?

14. Find two equivalent fractions for each given fraction. 1. 2.
Lesson Quiz
Find two equivalent fractions for each given fraction.
Find the missing number that makes the fractions equivalent.
Write each fraction in simplest form.
Possible answers: 4 10
___ 8 20
___ 2 5 , 7 14
___ 1 2
___ 14 28 , 2 7 __ 4 15 __ 20
___
___ = 6 = 75 21 4 8 __ 1 2 __ 7 49
___ 1 7
___

15. HOMEWORK
p. 170: 1-16,29-36