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Equivalent Fractions Exploration

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Equivalent Fractions Exploration

Explore equivalent fractions by using fraction models and number lines, and by multiplying or dividing the numerator and denominator by the same number.

Choose and identify

1.Multiply the numerator and denominator of 3/7 by 4. What fraction do you get?

12/28
7/12
12/11
3/28

2.Which fraction is equivalent to 4/9?

8/18
8/27
5/10
4/18

3.Which fraction is equivalent to 5/8?

10/16
5/16
15/16
20/24

4.Convert 2 2/5 to an improper fraction.

5.Write three fractions equivalent to 3/8. Include a brief note explaining the method you used.

6.Simplify 18/24 to its lowest terms. Show how you found the answer.

Models and matching

7.The number line shows two marked values. Write each value as a fraction with denominator 8, then write its simplest form.

8.Match each fraction with an equivalent fraction.

8/18
9/12
12/20
6/21
15/18

9.Convert 1 5/6 to an improper fraction. Then find one equivalent fraction by multiplying its numerator and denominator by 2, and another by multiplying both by 3.

10.A tray is divided into 10 equal pieces, and 6 pieces are coloured. Write this amount as a fraction, then give its simplest form and one other equivalent fraction.

11.Explain one reliable way to check whether 7/12 and 14/24 are equivalent.