Fractions In Simplest Form Worksheet Page 2

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Example 3 Use Fractions to Solve a Problem
MARATHONS Officials estimate that 75 of the 120 runners starting a marathon
will run the entire race. Write this fraction in simplest form.
75 = 3 ⋅ 5 ⋅ 5
120 = 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 5
The GCF of 75 and 120 is 3 ⋅ 5, or 15.
÷
75
75 15
5
=
=
÷
120
120 15
8
5
The fraction of runners who will run the entire race is
.
8

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