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Equivalent Fractions Worksheet

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Equivalent Fractions Worksheet

The picnic team is sharing food fairly. Use equivalent fractions to help them compare and describe equal amounts. Show your thinking where asked.

Spot equal amounts

1.One sandwich is split into 2 equal pieces, and another same-sized sandwich is split into 6 equal pieces. Which fraction of the second sandwich is the same amount as 1/2?

2.The team has packed 2/4 of a fruit platter. Tick every fraction that describes the same amount.

1/2
3/8
4/8
6/12

3.Which pair does NOT show equivalent fractions?

3/4 and 6/8
2/5 and 4/10
1/3 and 2/6
2/3 and 4/9

Build equivalent fractions

4.The picnic drink is divided into 3 equal batches. If 2/3 of the drink is ready, write an equivalent fraction with a denominator of 9.

5.Complete the equivalent fraction: 4/5 = 8/. What number belongs in the blank?

6.A tray has 8 equal spaces, and 6 are filled with mini muffins. Write 6/8 in its simplest form by dividing the numerator and denominator by the same number. Show the division you used.

7.Create three fractions equivalent to 3/5. Use a different whole-number multiplier for each one, and show the multiplier you used.

Explain and solve

8.Kai says 4/6 = 2/4 because he subtracted 2 from both the numerator and denominator. Is Kai correct? Explain how you can check.

9.The team made 5/12 of its fruit kebabs. The same amount can be written as 15/____. Find the missing denominator and state what happened to the numerator.

10.A picnic loaf is cut into 8 equal slices. Hugo eats 2 slices. Write the amount she eats as a fraction, then give that fraction in its simplest form.

11.Challenge: The juice team has poured 2/7 of a jug. Write an equivalent fraction with both the numerator and denominator greater than 20.