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Grade 5 · Math

Count unit-fraction portions in whole amounts

Interpret a whole number divided by a unit fraction as a count of equal portions.

6 authored questions + worked example

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Worked example

There are 2 liters of juice. Each cup holds liter. How many full cups can be filled?

Answer & why

Answer: 6

Each liter fills 3 cups of size liter. So 2 × 3 = 6 cups. Check: 6 × = 2.

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All questions

All 6 authored questions for this skill.

Question 1

There are 4 liters of juice. Each cup holds liter. How many full cups can be filled?

  1. 7
  2. 8
  3. 9
  4. 10
A hint

Count how many unit-fraction parts fit in one whole, then in all the wholes.

Answer & why

Answer: 8

Each liter fills 2 cups of size liter. So 4 × 2 = 8 cups. Check: 8 × = 4.

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Question 2

There are 2 liters of juice. Each cup holds liter. How many full cups can be filled?

  1. 9
  2. 11
  3. 12
  4. 10
A hint

Count how many unit-fraction parts fit in one whole, then in all the wholes.

Answer & why

Answer: 10

Each liter fills 5 cups of size liter. So 2 × 5 = 10 cups. Check: 10 × = 2.

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Question 3

There are 3 liters of juice. Each cup holds liter. How many full cups can be filled?

  1. 20
  2. 17
  3. 18
  4. 19
A hint

Count how many unit-fraction parts fit in one whole, then in all the wholes.

Answer & why

Answer: 18

Each liter fills 6 cups of size liter. So 3 × 6 = 18 cups. Check: 18 × = 3.

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Question 4

There are 5 liters of juice. Each cup holds liter. How many full cups can be filled?

  1. 21
  2. 20
  3. 19
  4. 22
A hint

Count how many unit-fraction parts fit in one whole, then in all the wholes.

Answer & why

Answer: 20

Each liter fills 4 cups of size liter. So 5 × 4 = 20 cups. Check: 20 × = 5.

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Question 5

There are 2 liters of juice. Each cup holds liter. How many full cups can be filled?

  1. 5
  2. 7
  3. 6
  4. 8
A hint

Count how many unit-fraction parts fit in one whole, then in all the wholes.

Answer & why

Answer: 6

Each liter fills 3 cups of size liter. So 2 × 3 = 6 cups. Check: 6 × = 2.

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Question 6

There are 3 liters of juice. Each cup holds liter. How many full cups can be filled?

  1. 13
  2. 11
  3. 12
  4. 14
A hint

Count how many unit-fraction parts fit in one whole, then in all the wholes.

Answer & why

Answer: 12

Each liter fills 4 cups of size liter. So 3 × 4 = 12 cups. Check: 12 × = 3.

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