Page 867 - Algebra 1

Equivalent Fractions
Skills Bank Lesson 7
Fractions that represent the same amount or part are called equivalent fractions.
_2 _1 42
Finding Equivalent Fractions
For each fraction, write two equivalent fractions.
__ a. 3 b. 36 4 40
Example
1
SOLUTION
Choose any whole number. Multiply the numerator and the denominator by that number.
3=3·3= 9 ___
SOLUTION
Find a number that is a factor of the numerator and the denominator. Divide both by that number.
36=36÷4= 9 ___
4 4 · 3 12 3 = 3 · 5 = 15
40 40 ÷ 4 10 36 = 36 ÷ 2 = 18
___ 4 4 · 5 20
___ 40 40 ÷ 2 20
_3 is equivalent to _9
4
Simplify.
_24 48
SOLUTION
and _18 .
and _15 . 12 20
_36 is equivalent to _9
40 10 20
Example
2
Writing Fractions in Simplest Form Using the GCF
Find t_he greatest common factor (GCF) of 24 and 48. The GCF is 24.
24÷24 _1
_24 = = Divide the numerator and denominator by 24.
48 48 ÷ 24 2 Skills Bank Practice
For each fraction, write two equivalent fractions.
____ a. 3 b. 1 c. 54 d. 120 7 5 72 360
Simplify.
852
Saxon Algebra 1
_14 _30
_ g. 75
e. f.
24 36
100
__ h. 48 i. 90
60 360