Multiplying and Dividing Fractions: Practice and Quizzes

Question 1

A recipe needs 2/3 cup of flour. If you want to make half the recipe, how much flour do you need?

Accepted Answer

1/6 cup

Answer

1/3 cup

Answer

2/3 cup

Answer

2/6 cup

Question 2

Which method should be used to multiply the fraction 1/3 by the whole number 2?

Accepted Answer

Multiply the numerator (top number) by 2 and keep the denominator (bottom number) the same

Answer

Add 1/3 two times

Answer

Multiply the denominator by 2 and keep the numerator the same

Answer

Divide the numerator by 2 and keep the denominator the same

Question 3

What is the result of dividing the fraction 1/2 by the whole number 3?

Accepted Answer

1/6

Answer

1/5

Answer

2/3

Answer

3/2

Question 4

Which number line represents the division of 1/3 by 2?

Accepted Answer

[Image of a number line divided into 6 equal parts, with 2 parts shaded]

Answer

[Image of a number line divided into 3 equal parts, with 2 parts shaded]

Answer

[Image of a number line divided into 9 equal parts, with 2 parts shaded]

Answer

[Image of a number line divided into 12 equal parts, with 2 parts shaded]

Question 5

What is 3/4 multiplied by 1/3?

Accepted Answer

1/12

Answer

9/12

Answer

3/12

Answer

4/12

Question 6

Which of these is equivalent to 2/5?

Accepted Answer

4/10

Answer

3/10

Answer

1/2

Answer

4/15

Question 7

A farmer has 3/4 of an acre of land. He plants 1/2 of his land with corn. How many acres of land does he plant with corn?

Accepted Answer

3/8 acre

Answer

1/8 acre

Answer

1/4 acre

Answer

3/4 acre

Question 8

Divide 2/5 by 4 to find the answer.

Accepted Answer

1/10

Answer

1/2

Answer

5/8

Answer

8/5

Question 9

Calculate the area of a rectangle with a length of 2/3 cm and a width of 1/2 cm.

Accepted Answer

1/6 cm²

Answer

1/2 cm²

Answer

1/3 cm²

Answer

2/3 cm²

Question 10

Divide: 3/4 by 2

Accepted Answer

3/8

Answer

6/8

Answer

1/2

Answer

2

Question 11

Find the product of 1/2 and 3/4.

Accepted Answer

3/8

Answer

3/6

Answer

6/8

Answer

6/6

Question 12

Which fraction is the smallest?

Accepted Answer

1/3

Answer

1/2

Answer

3/4

Answer

5/6

Question 13

Divide 3/4 by 2 using the number line.

Accepted Answer

3/8

Answer

6/8

Answer

6/4

Answer

4/6

Question 14

What is half of 3/5?

Accepted Answer

3/10

Answer

1/10

Answer

5/10

Answer

7/10

Question 15

Solve for x: 2/5 x x = 1/2

Accepted Answer

5/8

Answer

1/4

Answer

3/4

Answer

2/5

Question 16

Which of the following is not a method used to multiply fractions?

Accepted Answer

Adding the fractions together

Answer

Using the fraction circle

Answer

Using the number line

Answer

Multiplying the numerators and denominators

Question 17

Find the product of 1/2 and 3.

Accepted Answer

3/2

Answer

1/6

Answer

1/5

Answer

2/3

Question 18

Calculate the area of a rectangle with a length of 1/2 m and a width of 1/3 m.

Accepted Answer

1/6 m²

Answer

1/5 m²

Answer

1/4 m²

Answer

1/3 m²

Question 19

A cake is cut into 8 equal slices. If John eats 3 slices, what fraction of the cake has he eaten?

Accepted Answer

3/4

Answer

1/2

Answer

2/3

Answer

4/5

Question 20

A pizza is cut into 8 equal slices and 3/8 of it is eaten. What fraction of the pizza remains?

Accepted Answer

5/8

Answer

3/5

Answer

5/3

Answer

8/5

Question 21

Which expression is equivalent to 3/4 divided by 2/3?

Accepted Answer

9/8

Answer

8/9

Answer

6/8

Question 22

To multiply 2/5 by 3/4, you can:

Accepted Answer

Multiply the numerators and denominators.

Answer

Invert the first fraction and multiply.

Answer

Add the numerators and multiply by the denominators.

Answer

Subtract the denominators and multiply by the numerators.

Question 23

Which of the following is the greatest fraction?

Accepted Answer

5/6

Answer

2/3

Answer

4/7

Answer

3/5

Question 24

To divide a fraction by another fraction, what mathematical operation do we perform on the divisor?

Accepted Answer

Flip it (invert it)

Answer

Add it

Answer

Subtract it

Answer

Multiply it by itself

Question 25

Which of these methods is NOT used to multiply fractions?

Accepted Answer

Adding the numerators

Answer

Multiplying the denominators

Answer

Multiplying the numerators

Answer

Flipping and multiplying (invert and multiply)

Question 26

Find the reciprocal of three-fifths.

Accepted Answer

5/3

Answer

1/3

Answer

3/8

Answer

2/5

Question 27

A farmer has three-fifths of an acre of land. He plants corn on one-half of his land. What fraction of the farmer's land is planted with corn?

Accepted Answer

3/10

Answer

1/5

Answer

3/5

Answer

1/2

Question 28

To divide a fraction by a whole number, we need to:

Accepted Answer

Invert the whole number and multiply it by the fraction.

Answer

Divide the whole number by the fraction.

Answer

Multiply the whole number by the fraction.

Question 29

What is 2/3 divided by 4?

Accepted Answer

1/6

Answer

8/3

Answer

1/12

Question 30

Which of the following represents 4 multiplied by 1/2?

Accepted Answer

2

Answer

1/8

Answer

4/2

Question 31

If you have 7/8 of a pizza and eat 2/8 of it, how much pizza do you have left?

Accepted Answer

5/8 of the pizza

Answer

1/8 of the pizza

Answer

9/8 of the pizza

Answer

5/16 of the pizza

Question 32

What is 1/3 divided by 2?

Accepted Answer

1/6

Answer

2/3

Answer

1/2

Answer

3/2

Question 33

A bag of flour weighs 2 1/2 kg. If you use 1/4 of the bag for a recipe, how much flour will you use?

Accepted Answer

5/8 kg

Answer

2 1/8 kg

Answer

1 kg

Answer

1/2 kg

Question 34

Divide (6/10) by 2:

Accepted Answer

3/10

Answer

12/10

Answer

6/5

Question 35

Simplify (3/4) ÷ (1/2):

Accepted Answer

3/2

Answer

6/4

Answer

4/3

Answer

1/2

Question 36

Solve: (1/3) ÷ (x/6) = 2

Accepted Answer

3

Answer

9

Answer

6

Answer

12

Question 37

Which expression represents the following word problem?
Jack has 2/3 of a pizza. He gives half of his pizza to his friend. How much pizza does Jack have left?

Accepted Answer

(2/3) ÷ 2

Answer

(3/2) ÷ 2

Answer

(3/2) × 2

Answer

(2/3) × 2

Question 38

A rectangular garden has a length of 3/4 meters and a width of 1/2 meters. What is the area of the garden?

Accepted Answer

3/8 square meters

Answer

3/4 square meters

Answer

1/2 square meters

Question 39

A train travels 1/4 of its journey in 2 hours. How long will it take the train to complete the entire journey?

Accepted Answer

8 hours

Answer

4 hours

Answer

2 hours

Answer

1 hour

Question 40

Which of the following strategies can be used to multiply the fraction (3/5) by the whole number 4?

Accepted Answer

Multiply the numerator by 4.

Answer

Divide the numerator by 4.

Answer

Multiply the denominator by 4.

Answer

Invert the fraction and multiply.

Question 41

What is the product of 2/3 and 6?

Accepted Answer

4

Answer

1

Answer

9

Answer

12

Question 42

A recipe calls for 1/4 cup of flour. If you want to make 3 times the recipe, how much flour do you need?

Accepted Answer

3/4 cup

Answer

1/12 cup

Answer

3 cups

Answer

1 cup

Question 43

What is the result of dividing 1/2 by 4?

Accepted Answer

1/8

Answer

4

Answer

1/2

Answer

2

Question 44

A pizza is cut into 8 slices. If you eat 3 slices, what fraction of the pizza did you eat?

Accepted Answer

3/8

Answer

3/4

Answer

1/8

Answer

1/3

Question 45

Which of the following is equivalent to 2 ÷ 1/3?

Accepted Answer

2 x 3

Answer

3/2

Answer

2/3

Answer

1/6

Question 46

You have 1/2 of a cake and want to divide it equally among 4 friends. What fraction of the whole cake will each friend receive?

Accepted Answer

1/8

Answer

1/4

Answer

2/4

Answer

1/2

Question 47

What is the result of 3/4 multiplied by 1/2?

Accepted Answer

3/8

Answer

3/2

Answer

1/2

Answer

1/8

Question 48

A piece of ribbon is 1/3 meter long. How many pieces of ribbon, each 1/6 meter long, can you cut from it?

Accepted Answer

2

Answer

1/2

Answer

6

Answer

3

Question 49

Which of the following fractions is the same as 3 x 1/5?

Accepted Answer

3/5

Answer

1/15

Answer

5/3

Answer

15/1

Question 50

If you divide 1/4 by 2, what is the result?

Accepted Answer

1/8

Answer

1/16

Answer

2/4

Answer

1/2