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Equivalent Fractions Exploration

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Equivalent Fractions Exploration

Choose the best answer where there is one answer. For “select all” questions, more than one answer may be correct. Show your thinking for written questions.

Choose and check

1.Which fraction is equal to 2/3?

2.Select every fraction that is equal to 3/5.

6/10
9/15
3/10
12/20

3.True or false: 3/4 and 9/12 name the same amount.

TrueFalse

4.Select every fraction that is equal to 1/4.

2/8
3/12
2/6
5/20

5.True or false: 4/10 is equivalent to 2/5.

TrueFalse

Find the missing number

6.Complete the equivalent fraction: 1/2 = /10.

7.Complete the equivalent fraction: 3/4 = 12/.

8.Complete the equivalent fraction: 2/7 = /21.

Match and explain

9.Match each fraction on the left with an equivalent fraction on the right. Use each right-hand fraction once.

8/12
9/12
6/10
4/8

10.Explain how multiplying both the numerator and denominator of 1/3 by 4 creates a fraction with the same value. Use the words numerator and denominator.

11.A ribbon is divided into 6 equal pieces, and 4 pieces are coloured. Write this amount as a fraction, then give an equivalent fraction with denominator 3.

12.The bar is divided into 4 equal parts, and 2 parts are shaded. Write the fraction represented by the bar and explain why it is equivalent to 1/2.

13.Draw two fraction bars of equal length: divide one into 3 equal parts and shade 2; divide the other into 6 equal parts and shade 4. Label each fraction to show the equivalence.