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Equivalent Fractions Practice
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Equivalent Fractions Practice
Aotearoa’s food truck is preparing recipes for different-sized groups. Equivalent fractions name the same amount: multiply or divide the numerator and denominator by the same non-zero number. Simplify fractions fully where asked. Show your working.
Recipe scaling
Use equivalent fractions to scale the food truck’s recipes.
1.The lemonade recipe uses 2/5 of a litre of lemon juice. Write this as a fraction with denominator 25.
2.A batch of scones needs 3/4 cup of milk. The cook is making 6 batches. Express 3/4 as an equivalent fraction with denominator 24, then state how many cups of milk are needed for all 6 batches.
3.A sauce uses 5/8 of a cup of yoghurt. Write an equivalent fraction with numerator 35. What number did you multiply the numerator and denominator by?
4.The food truck has 12/18 of a tray of kūmara bites left. Simplify the fraction to show the amount left in simplest form.
Spot the equivalent fractions
Check each claim carefully. Equivalent fractions have the same value, not just similar-looking numbers.
5.Which fraction is equivalent to 3/5? Choose one.
- 9/20
- 12/20
- 6/15
- 15/20
6.True or false? 7/9 and 21/27 are equivalent. Give one calculation to support your answer.
7.A customer says 4/7 = 12/21 because both numbers were multiplied by 3. Is the customer correct? Explain why.
Make your own
Use equivalent fractions to solve a small ordering puzzle.
8.Fill the missing numerator: 5/6 = /42. Then name the factor used to change the denominator.
9.A tray is 2/3 full of feijoa slices. Write two different fractions equivalent to 2/3, using denominators 12 and 30. Explain the rule that makes them equivalent.
10.Three customers order 3/4, 5/8 and 7/12 of a tray. Rewrite each fraction with denominator 24, then put the orders in ascending order.
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