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Summer Skills worksheets - All Saints

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SKILL<br />

20<br />

Name Date Period<br />

Simplifying Fractions<br />

To write a fraction in simplest form, divide both the numerator and<br />

denominator by their greatest common factor (GCF).<br />

16<br />

Example 1 Write 1<br />

in simplest form.<br />

00<br />

Step 1 Step 2<br />

Find the GCF of 16 and 100.<br />

Divide both 16 and 100 by their<br />

You can use prime factorization. GCF, 4.<br />

16 2 2 2 2 4<br />

100 2 2 5 5<br />

GCF: 2 2 4 1<br />

1<br />

6<br />

4<br />

<br />

00<br />

2 5<br />

4<br />

A fraction is in simplest form when<br />

the GCF of both its numerator and<br />

denominator is 1.<br />

16<br />

4<br />

The fraction 1<br />

written in simplest from is 2<br />

.<br />

00<br />

5<br />

6<br />

Example 2 Write 1 5<br />

in simplest form.<br />

6 3 2 3<br />

15 3 5<br />

GCF: 3 1<br />

6<br />

5 5 2 5 <br />

3<br />

Write each fraction in simplest form.<br />

1. 4 6 2. 2 4 3. 1<br />

6<br />

2 8<br />

4. <br />

1 0<br />

5. 1<br />

6<br />

4<br />

6. 6 9 7. 2 8 8. 1<br />

3<br />

<br />

2<br />

© Glencoe/McGraw-Hill 39 Algebra

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