Equivalent Fractions: Simplifying And Building With Answers Page 3

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d.
We must find a form of 1 (or common factor) which can be multiplied by
one fraction to create the other. Note that:
4
xy
4xy
=
9
xy
9xy
xy
Since
is a form of 1, the two fractions are equivalent.
xy
Given a fraction, could you find other fractions which are equivalent to it. For example, given
3
the fraction
, what would be some other fractions equivalent to it? We could multiply by
7
different forms of 1:
3
2
6
=
7
2
14
3
5
15
=
7
5
35
3
a
3a
=
7
a
7a
Note that we could list as many equivalent fractions as we can list forms of 1, which is infinite.
Example 2
For each fraction, list three equivalent fractions. Use variables in at least one of
your fractions.
5
a.
8
7
!
b.
12
2x
c.
5
147

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