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Fractions of Sets Calculations

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Fractions of Sets Calculations

A community kai stall is packing snacks for a neighbourhood picnic. To find a fraction of a set, divide the total by the denominator, then multiply by the numerator. For example, 2/3 of 12 = 12 ÷ 3 × 2 = 8. Show your working for calculation questions.

Pack the picnic

Use the fraction-bar models to picture the equal groups. Each bar represents one whole set; the shaded parts show the fraction to find.

1.There are 18 mandarins. Find 1/3 of 18 to pack into a small basket.
2.The stall has 24 cheese scones. Find 3/4 of 24 to put on the serving tray.
3.A box contains 35 apples. Find 2/5 of 35 to share with the volunteers.
4.There are 32 mini muffins. Find 5/8 of 32 for the picnic tables.
  • 16 muffins
  • 20 muffins
  • 24 muffins
  • 28 muffins

Solve the stall's puzzles

Read each situation carefully. Think about how many equal groups the denominator makes before counting the numerator's share.

5.The stall starts with 42 juice boxes. If 4/7 are chilled in the ice bin, how many juice boxes go in the bin?
6.A tray holds 45 pinwheel sandwiches. Find 2/9 of 45. How many are vegetarian if that fraction is vegetarian?
7.There are 56 crackers to divide equally into 8 bowls. How many crackers are in each bowl? Then, what is 3/8 of the crackers?
8.The picnic has 60 reusable cups. A helper says that 7/10 of 60 is 40. Is the helper correct? Explain or calculate the correct amount.
9.A basket has 48 feijoas. Find 5/6 of 48, then write the number of feijoas left over.
10.For a final challenge, 3/8 of a set of paper napkins is 15 napkins. How many napkins were in the whole set? Show how you know.

3 printable pages

  • Fractions of Sets Calculations, page 1 of 3: Pack the picnic

    Page 1

  • Fractions of Sets Calculations, page 2 of 3: Solve the stall's puzzles

    Page 2

  • Fractions of Sets Calculations, page 3 of 3: 10. For a final challenge, 3/8 of a set of paper napkins is 15 napkins. How many napkins…

    Page 3

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