1. Equivalent Fractions Warm Up List the factors of each number. 1. 8
Course 1
Equivalent Fractions
Warm Up
List the factors of each number.
1. 8
2. 10
3. 16
4. 20
5. 30
1, 2, 4, 8
1, 2, 5, 10
1, 2, 4, 8, 16
1, 2, 4, 5, 10, 20
1, 2, 3, 5, 6, 10, 15, 30

2. Insert Lesson Title Here
Course 1
Equivalent Fractions
Insert Lesson Title Here
By the end of the lesson, we will be able to:
explain what equivalent fractions are
understand that each fraction has one equivalent fraction called the simplest form
write equivalent fractions
find the simplest form of a fraction

3. Equivalent Fractions = =
Course 1
Equivalent Fractions
Fractions that are written differently but represent the same value are equivalent fractions. So , , and are equivalent fractions. 1 2 __ 2 4 __ 4 8 __ 12 24 48 = =

4. Equivalent Fractions = =
Course 1
Equivalent Fractions
To get equivalent fractions we must MULTIPLY or DIVIDE the numerator and denominator by the SAME NUMBER
If you multiply, you will get a fraction with bigger numbers
If you divide, you will get a fraction with smaller numbers
V.IMP: Multiply/Divide TOP & BOTTOM to keep the fractions EQUIVALENT! 12 24 48 = =

5. Equivalent Fractions Example 1 Find two equivalent fractions for . 4 6
Course 1
Equivalent Fractions
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 4 parts, 8 parts, and 2 parts. 4 6 __ 8 12
___ 2 3 __
So , , and are all equivalent fractions.

6. Multiplying and Dividing to Find Equivalent Fractions
Course 1
Equivalent Fractions
Multiplying and Dividing to Find Equivalent Fractions
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
______
x 4 12
____
Multiply the numerator, 3, by the same number, 4. =
x 4 20 3 5 __ 12 20
___
So is equivalent to 3 5 __ 12 20
___ =

7. Course 1
Equivalent Fractions
Additional Example 2B: Multiplying and Dividing to Find Equivalent Fractions
Find the missing number that makes the fractions equivalent. 4 5 __
___ 80 =
In the numerator, 4 is multiplied by 20 to get 80.
x 20 4 5
______ 80
____
Multiply the denominator by the same number, 20. =
x 20
100 4 5 __ 80
100
___
So is equivalent to 4 5 __ 80
100
___ =

8. Course 1
Equivalent Fractions
Find the missing number that makes the fraction equivalent. 3 9 __
___
In the denominator, 9 is multiplied by 3 to get 27. = 27 3 9
______
x 3 9
____
Multiply the numerator, 3, by the same number, 3. =
x 3 27 3 9 __ 9 27
___
So is equivalent to 3 9 __ 9 27
___ =

9. Course 1
Equivalent Fractions
Find the missing number that makes the fraction equivalent. 2 4 __
___ 40
In the numerator, 2 is multiplied by 20 to get 40. =
x 20 2 4
______ 40
____
Multiply the denominator by the same number, 20. =
x 20 80 2 4 __ 40 80
___
So is equivalent to 2 4 __ 40 80
___ =

10. Course 1
Equivalent Fractions
Every fraction has one equivalent fraction that is called the simplest form of the fraction.
The simplest form of a fraction has the smallest possible numbers.
To find the simplest form we must DIVIDE the numerator and denominator by the SAME number until we cannot divide anymore!

11. Writing Fractions in Simplest Form
Course 1
Equivalent Fractions
Writing Fractions in Simplest Form
Write each fraction in simplest form. 20
___ 48 20 48
_______
÷ 4 5 12 __ =
Divide 20 and 48 by their HCF, 4.
÷ 4

12. Writing Fractions in Simplest Form
Course 1
Equivalent Fractions
Writing Fractions in Simplest Form
Write the fraction in simplest form. 7 10
___ 7 10
___
is already in simplest form!

13. Insert Lesson Title Here
Course 1
Equivalent Fractions
Insert Lesson Title Here
Mini Class Task
Find two equivalent fractions for each given fraction.
Find the missing number that makes the fractions equivalent.
Write each fraction in simplest form. 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
___

14. Self-Assessment

15. 5 4 3 2 1 A B C D E