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Simplifying Fractions Worksheet

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Simplifying Fractions Worksheet

To simplify a fraction, divide its numerator and denominator by the same number. Keep dividing until they have no common factor greater than 1. For example, (12 ÷ 6)/(18 ÷ 6) = 2/3.

Practise simplifying

Write each answer in its simplest form.

1.Simplify 6/8.

2.Simplify 9/15.

3.Simplify 10/25.

4.Simplify 14/21.

5.Simplify 18/24.

6.Simplify 16/28.

7.Which fraction is already in simplest form?

8/12
5/9
12/18
15/25

8.Choose every fraction equivalent to 3/4.

6/8
9/12
6/10
12/16

Show your steps

For each question, show how you divided the numerator and denominator by the same factor.

9.Simplify 20/30. State the greatest common factor of 20 and 30, then show the division and your simplified fraction.

10.Simplify 21/35. State the greatest common factor of 21 and 35, then show the division and your simplified fraction.

11.A tray has 12 equal pieces, and 9 pieces are covered with icing. What fraction of the tray is iced? Simplify the fraction and show the common factor you used.

12.A student says 14/20 simplifies to 7/10. Is this correct? Explain by showing the factor used to simplify both parts.

13.Match each fraction to its simplest form. The same simplest form may be used more than once.