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Fractions of Sets

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Fractions of Sets

Work out each fraction of a set. Show your steps where asked.

Understanding fractions

1.What does 3/5 describe?
  • 3 of 5 equal groups
  • 5 of 3 equal groups
  • 3 added to 5
2.In 4/7, what is the name of the top number, 4?
3.In 4/7, what is the name of the lower number, 7?
4.Select every fraction with a numerator greater than 1.
  • 2/3
  • 1/4
  • 5/8
  • 1/2
  • 3/7

Finding fractions of sets

5.Find 2/5 of 30 buttons. First find 1/5, then multiply that amount by 2.
6.Find 3/6 of 24.
7.Find 4/8 of 32.
8.Find 2/7 of 21.
9.Find 5/9 of 36.
10.Georgia has 40 stickers and gives 3/8 of them to her friends. How many stickers does she give away?

Show fractions visually

11.Use the bar to show 3/4 of 20 counters. Divide the bar into equal parts, then mark the parts that make up 3/4. How many counters is that?
12.Draw 18 toy cars as 3 equal groups. Show 2/3 of the cars. How many cars have you shown?
13.A set has 28 blocks. Divide the bar into 7 equal parts and mark 5 parts. How many blocks are marked?

Problem solving

14.Match each fraction calculation to its answer.
  • 2/5 of 30
  • 3/7 of 42
  • 4/6 of 24
  • 5/8 of 48
  • 30
  • 12
  • 18
  • 16
15.There are 56 students in a sports group. 3/8 play rugby and 2/7 play netball. How many play rugby, and how many play netball?
16.Explain how you would work out 4/9 of 45. Include the division and multiplication steps.

Quick check

17.True or false: To find 1/5 of 35, divide 35 by 5.
TrueFalse
18.True or false: 2/6 of 30 is 10.
TrueFalse
19.True or false: The lower number tells how many equal groups the whole is divided into.
TrueFalse
20.Find 3/4 of 28.
21.Write your own word problem that asks someone to find 2/5 of a number.

5 printable pages

  • Fractions of Sets, page 1 of 5: Understanding fractions

    Page 1

  • Fractions of Sets, page 2 of 5: Finding fractions of sets

    Page 2

  • Fractions of Sets, page 3 of 5: Show fractions visually

    Page 3

  • Fractions of Sets, page 4 of 5: Problem solving, Quick check

    Page 4

  • Fractions of Sets, page 5 of 5: 18. True or false: 2/6 of 30 is 10.

    Page 5

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