Making Equivalent Fractions 8 × 1 = 8


When you multiply a number by 1, you don’t change the value of the number. So what happens when you multiply a fraction (3


– 4 × 3


3


– 3 = 9


__ 12


Because you are multiplying by 1, you don’t change the value of the fraction. That means the answer must be an equivalent fraction of 3


– 4.


So 3


– 4 and 9


__ 12 are equivalent fractions.


– 4) by a member of the family of 1 (3


– 3)?


1. Find equivalent fractions for these by multiplying. a) 2 d) 5


– 5 × 2


– 9 × 7


– 2


– 7


b) 2 e) 7


– 3 × 8


– 8


– 8 × 12


__ 12


c) 1 f)


– 6 × 4


__ 11 × 3


6


– 4


– 3


2. Find out which members of the family of 1 were used to make these pairs of equivalent fractions.


a) 4 d) 5


– 7 × __ = 12


__ 21


– 9 × __ = 35


__ 63


b) 3


– 8 × __ = 15


__ 40


e) 3 __


10 × __ = 33 ___


110


c) 2 f)


9 ÷ 1 = ?


If you divide a number by 1, you don’t change the number’s value. Likewise, you can divide a fraction ( 5


equivalent fraction.


__ 10 ÷ 5


5


So 5 __


10 and 1


– 2 are equivalent fractions.


– 5 = 1


– 2


__ 10) by a member of the family of 1 (5


– 5) to get an


– 3 × __ = 18


__ 27


__ 12 × __ = 56


7


__ 96


3. Find equivalent fractions for these fractions by dividing. a) 3


– 9 ÷ 3


d) 21 __


– 3


56 ÷ 7


– 7


b) 8 __


12 ÷ 4


e) 36 __


– 4


48 ÷ 12 __


12


c) 15 __


f)


20 ÷ 5 45


__ 72 ÷ 9


– 5


– 9


54


Fractions 1


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