Equivalent Fractions: Simplifying And Building With Answers Page 2
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16Example 1
Determine whether the two fractions are equivalent by using the Fundamental
Property of Fractions.
9
45
a.
,
10
50
5
60
!
, !
b.
7
84
7
49
c.
,
12
96
4
4xy
d.
,
9
9xy
Solution
a.
For the two fractions to be equivalent, there must be a form of 1 (or a
common factor) which can be multiplied by one fraction to create the other.
Note that:
9
5
45
=
•
10
5
50
5
Since
is a form of 1, the two fractions are equivalent.
5
b.
We must find a form of 1 (or common factor) which can be multiplied by
one fraction to create the other. Note that:
5
12
60
!
= !
•
7
12
84
12
Since
is a form of 1, the two fractions are equivalent.
12
c.
We must find a form of 1 (or common factor) which can be multiplied by
one fraction to create the other. Note that:
7
7
49
=
•
12
8
96
7
Since
is not a form of 1, the two fractions are not equivalent. An
8
alternate way to verify this is to convert each fraction to decimal:
7
= 0.583
12
49
= 0.510416
96
Note that these two decimal forms are not the same.
146
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