Worksheet: Multiplying Fractions: Area Models

In this worksheet, we will practice finding the product of two proper fractions using area models and relating the numerator and denominator of the product to those of the factors.

Q1:

The diagram shows the different stages to find the number ๐‘ that 23 is 45 of.

Express ๐‘Ž in terms of 23.

  • A๐‘Ž=14ร—23
  • B๐‘Ž=15รท23
  • C๐‘Ž=15ร—23
  • D๐‘Ž=14รท23
  • E๐‘Ž=23รท14

What operation on number ๐‘Ž gives number ๐‘?

  • A๐‘=๐‘Žร—5
  • B๐‘=๐‘Žร—4
  • C๐‘=๐‘Ž+5
  • D๐‘=๐‘Žร—6
  • E๐‘=๐‘Ž+4

Find the value of ๐‘.

  • A815
  • B23
  • C56
  • D16
  • E32

Q2:

There is 14 of a cake left. Anthony eats 23 of it. What fraction of the whole cake does Anthony eat?

  • A23
  • B27
  • C83
  • D14
  • E16

Q3:

How much is 14 of 13?

  • A3
  • B112
  • C12
  • D14
  • E13

Q4:

Multiply 23 by 45 using models.

  • A23
  • B45
  • C815
  • D810
  • E1012

Q5:

Write a fraction equation to find what fraction of the given figure is shaded.

  • A27ร—64=628
  • B27ร—34=624
  • C27ร—34=628
  • D27ร—34=328
  • E26ร—34=628

Q6:

Noah usually runs 75 of a running track in one hour. What fraction of the running track does he run in 12 h?

  • A1410
  • B75
  • C145
  • D107
  • E710

Q7:

Sophia spends 18 of her day relaxing. She spends 34 of this time drawing. What fraction of her day does she spend drawing?

  • A244
  • B18
  • C34
  • D332
  • E328

Q8:

A man bought 32 of an acre of land. He planted flowers on 14 of the land he bought. On what fraction of the acre did he plant flowers?

  • A38
  • B83
  • C212
  • D32
  • E14

Q9:

Find the product of 52 and 34 using models.

  • A206
  • B154
  • C815
  • D158

Q10:

Find 12 of 15 using models.

  • A12
  • B15
  • C10
  • D110
  • E5

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