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Lesson: Multiplying Fractions by Fractions

In this lesson, we will learn how to multiply up to three fractions and how to use this skill to solve problems in real-life situations.

Sample Question Videos

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02:30
01:08

Worksheet • 23 Questions • 4 Videos

Q1:

The results of a survey show that 6 7 of the population of a certain town jog regularly. Of those, 1 2 jog along the river. Which of the following expressions represents the fraction of people that jog along the river?

  • A 6 7 × 1 2
  • B 6 7 ÷ 1 2
  • C 6 7 − 1 2
  • D 6 7 + 1 2

Q2:

Calculate 2 5 × 3 4 , giving your answer in its simplest form.

  • A 3 1 0
  • B 6 5
  • C 1 0 3
  • D 5 9
  • E 8 1 5

Q3:

Calculate 1 3 × 5 7 .

  • A 5 2 1
  • B 5 3
  • C 2 1 5
  • D 3 5
  • E 7 1 5

Q4:

Calculate 2 1 4 4 × 6 7 × 1 1 1 2 , giving your answer as a fraction in its simplest form.

  • A 3 8
  • B 1 9 1 8 4 8
  • C 8 3
  • D 22
  • E 3 8 6 3

Q5:

1 4 1 5 of 3 7 = .

  • A 2 5
  • B 1 4 5
  • C 5 2
  • D 9 8 4 5
  • E 1 7 2 2

Q6:

A librarian is categorising the 950 books in his library. He finds that 3 5 of the books are religious, 3 1 0 are literature, and 1 1 0 are science books. How many literature books does he have in his library?

Q7:

There are 60 students in a class, 3 4 of whom are boys. 3 5 of the boys have blue eyes. How many of the boys do not have blue eyes?

Q8:

In the sixth grade, 8 9 of the students participate in sports. Of these students, 2 7 practice football, and of them, 1 4 practice swimming as well. If there are 252 students in the sixth grade, determine how many students practice both football and swimming.

Q9:

Evaluate 2 3 × 3 4 × 1 7 .

  • A 1 1 4
  • B 1 1 1 4
  • C 1 2
  • D 2 2 1
  • E 3 2 8

Q10:

Evaluate .

  • A
  • B
  • C 1
  • D
  • E

Q11:

Evaluate 1 4 × 2 3 + 5 4 × 2 3 − 3 × 2 3 .

  • A − 1
  • B 1
  • C 3
  • D 1 2
  • E − 1 2

Q12:

Evaluate 1 2 × 4 3 + 3 8 × 4 3 using the properties of multiplication.

  • A 7 6
  • B 7 8
  • C 1 2
  • D 2 3

Q13:

Evaluate .

  • A
  • B
  • C
  • D
  • E

Q14:

Evaluate one-fourth of eight-ninths.

  • A 2 9
  • B 9 2 5
  • C 1 5 3 6
  • D 2 3 3 6
  • E 9 3 2

Q15:

8 9 × ⋯ 9 = 4 0 8 1 .

Q16:

Find the missing term in the equation 1 2 0 = 1 5 × ⋯ 8 .

Q17:

A bake sale is selling brownies. Currently, the brownie pan is 5 6 full. Jacob asks to buy 1 4 of the available brownies. How much of the entire pan will Jacob buy?

  • A 5 2 4
  • B 3 5
  • C 7 1 2
  • D 1 4

Q18:

Eight-fifths of a quarter = .

  • A 2 5
  • B 5 3 2
  • C 5 2
  • D 3 2 5

Q19:

1 2 × = 1 6 .

  • A 1 3
  • B3
  • C 1 4
  • D 1 1 2

Q20:

Evaluate 5 1 6 × 1 3 − 7 5 .

  • A − 1 3
  • B − 1 8
  • C − 1 6 1 5
  • D 1 3 2 4

Q21:

A half is a third of it. What is it?

  • A 3 2
  • B 1 1 2
  • C 1 6
  • D6
  • E 2 3

Q22:

Find the volume of a wooden box that measures 2 3 5 by 3 1 8 by 3 1 2 feet.

  • A 2 8 7 1 6 ft3
  • B 1 8 3 8 0 ft3
  • C 9 9 4 0 ft3
  • D 1 0 1 5 1 6 ft3
  • E 8 1 8 ft3

Q23:

Sherif wants to paint his bedroom wall that is ft long and ft wide. Determine the area of the wall.

  • A 28 ft2
  • B ft2
  • C ft2
  • D 6 ft2
  • E ft2
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