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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.

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?

Q2:

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

Q3:

Calculate 1 3 × 5 7 .

Q4:

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

Q5:

1 4 1 5 of 3 7 = .

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 .

Q10:

Evaluate .

Q11:

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

Q12:

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

Q13:

Q14:

Evaluate one-fourth of eight-ninths.

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?

Q18:

Eight-fifths of a quarter = .

Q19:

1 2 × = 1 6 .

Q20:

Evaluate 5 1 6 × 1 3 − 7 5 .

Q21:

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

Q22:

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

Q23:

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

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