How can you find equivalent fractions?
To find equivalent fractions, multiply the numerator and
denominator of a fraction by the same number. But, don’t
use zero!
Example A
2
Multiply to find a fraction equivalent to ᎏ5ᎏ.
What You Show
What You Think
⫻
1
1
10
1
10
1
10
2
2
4
ᎏ5ᎏ ⫽ ᎏ
1ᎏ
0
1
5
1
5
⫻
What You Write
ᎏ25ᎏ = ᎏ4ᎏ
10
2
1
10
You can also divide the numerator and denominator of a
fraction by the same number as long as you don’t use zero.
Example B
4
Divide to find a fraction equivalent to ᎏ6ᎏ.
What You Show
冧
4
ᎏ
6
2
ᎏ
3
Red counters
Counters in all
What You Think
⫼
2
ᎏ4ᎏ ⫽ ᎏ2ᎏ
6
3
Groups of
red counters
⫼
What You Write
ᎏ46ᎏ = ᎏ23ᎏ
2
Groups of
counters in all
Talk About It
4
1. In Example B, the numerator and denominator of ᎏ6ᎏ are
2
divided by 2 to get ᎏ3ᎏ. Is 2 a factor of 4 and of 6?
Yes
2. If you multiply the numerator and the denominator by
2
3 instead of 2 to get a fraction equivalent to ᎏ5ᎏ, what
6
fraction would you get? ᎏ1ᎏ
5
Section B Lesson 9-6
517