Multiplying and Dividing Fractions: Interactive Quizzes and Practice

Question 1

When dividing a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. Divide 2/3 by 4. What is the answer?

Accepted Answer

1/6

Answer

1/2

Answer

2/3

Answer

6/1

Question 2

A car travels 120 miles in 2 hours. To find the average speed, divide the distance by the time. What is the average speed of the car in miles per hour?

Accepted Answer

60

Answer

120

Answer

240

Answer

480

Question 3

Which fraction is equal to 3/4?

Accepted Answer

6/8

Answer

1/2

Answer

5/6

Answer

2/3

Question 4

Convert the fraction 3/5 to a decimal.

Accepted Answer

0.6

Answer

0.5

Answer

0.7

Answer

0.8

Question 5

Simplify the fraction 12/18.

Accepted Answer

2/3

Answer

3/6

Answer

4/6

Answer

6/3

Question 6

Multiply 3/4 by 2/3.

Accepted Answer

5/12

Answer

6/7

Answer

5/7

Answer

6/12

Question 7

Divide 5/6 by 1/2.

Accepted Answer

10/3

Answer

5/3

Answer

15/6

Answer

10/6

Question 8

Which of the following fractions is greater than 1?

Accepted Answer

4/5

Answer

3/4

Answer

5/6

Answer

2/3

Question 9

What is the reciprocal of 3/4?

Accepted Answer

4/3

Answer

3/3

Answer

4/2

Answer

2/3

Question 10

Simplify the expression: (2/3) ÷ (1/6).

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 11

A farmer has 3/4 of an acre of land. He wants to divide the land equally among his three sons. How much land will each son receive?

Accepted Answer

1/4 acre

Answer

1/2 acre

Answer

3/4 acre

Answer

1 acre

Question 12

When dividing a fraction by a whole number, we

Accepted Answer

Keep the numerator the same and divide the denominator by the whole number.

Answer

Keep the denominator the same and divide the numerator by the whole number.

Answer

Divide both the numerator and denominator by the whole number.

Question 13

To simplify a fraction, we can

Accepted Answer

Both of the above

Answer

Divide both the numerator and denominator by their greatest common factor.

Answer

Multiply both the numerator and denominator by the same number.

Question 14

If a recipe calls for 1/2 cup of sugar and you want to double the recipe, how much sugar will you need?

Accepted Answer

2 cups

Answer

1/4 cup

Answer

1 cup

Question 15

What is the reciprocal of a fraction?

Accepted Answer

The fraction turned upside down.

Answer

The fraction multiplied by itself.

Answer

The fraction divided by itself.

Question 16

How do you convert an improper fraction to a mixed number?

Accepted Answer

Divide the numerator by the denominator and the remainder is the whole number.

Answer

Multiply the numerator and denominator by the same number to make the denominator 10 or 100, and then remove the zeros.

Answer

Add the numerator and denominator and divide by 2.

Question 17

To solve an equation involving fractions, we can

Accepted Answer

Multiply both sides of the equation by the least common multiple of the denominators.

Answer

Divide both sides of the equation by the least common multiple of the denominators.

Answer

Add the same fraction to both sides of the equation.

Question 18

A train travels 90 miles in 1 hour. What is its average speed in miles per hour?

Accepted Answer

90 mph

Answer

60 mph

Answer

120 mph

Question 19

When you multiply a fraction by a whole number, what do you do?

Accepted Answer

Multiply the numerator by the whole number.

Answer

Multiply the denominator by the whole number.

Answer

Add the numerator to the whole number.

Answer

Subtract the denominator from the whole number.

Question 20

What is the result of dividing a fraction by a whole number?

Accepted Answer

The numerator is divided by the whole number, and the denominator remains the same.

Answer

The numerator becomes the denominator, and the denominator becomes the numerator.

Answer

The numerator and denominator are both multiplied by the whole number.

Answer

The denominator is divided by the whole number, and the numerator remains the same.

Question 21

A car travels 1/3 of a mile in 1 minute. How many miles does it travel in 5 minutes?

Accepted Answer

5/3 miles

Answer

1/15 mile

Answer

3/5 miles

Answer

1/5 mile

Question 22

A bag of rice weighs 5/4 kilograms. A cook uses 1/2 of the bag of rice. How many kilograms of rice does the cook use?

Accepted Answer

5/8 kilograms

Answer

5/2 kilograms

Answer

2/5 kilograms

Answer

1/4 kilograms

Question 23

To multiply fractions, we multiply the numerators and the denominators. What is the product of 1/2 and 3/4?

Accepted Answer

3/8

Answer

1/6

Answer

1/8

Answer

6/8

Question 24

A farmer has 100 sheep. He sells 1/5 of his sheep. How many sheep does he have left?

Accepted Answer

80

Answer

20

Answer

50

Answer

100

Question 25

Simplify the expression: (2/3) / (1/4)

Accepted Answer

3/8

Answer

8/12

Answer

6/4

Answer

2/12

Question 26

Which fraction is greater: 1/3 or 1/4?

Accepted Answer

1/3

Answer

1/4

Answer

Equal

Answer

Can't be determined

Question 27

If a recipe requires 1/2 cup of flour and you want to make twice the amount, how much flour will you need?

Accepted Answer

2 cups

Answer

1 cup

Answer

1/4 cup

Answer

3/4 cup

Question 28

Divide 3/4 by 2. What is the quotient?

Accepted Answer

3/8

Answer

1/8

Answer

6/8

Answer

9/8

Question 29

Which of the following is the smallest fraction?

Accepted Answer

1/6

Answer

1/3

Answer

1/4

Answer

1/5

Question 30

A farmer has 3/5 of an acre of land. He wants to divide it equally between his 2 sons. How much land will each son receive?

Accepted Answer

3/10 acre

Answer

1/5 acre

Answer

2/5 acre

Answer

6/10 acre

Question 31

Which of the following is NOT a method for multiplying fractions?

Accepted Answer

Divide the numerators and the denominators

Answer

Multiply the numerators and the denominators

Answer

Invert the second fraction and multiply

Answer

Multiply the numerator of the first fraction by the denominator of the second fraction

Question 32

Simplify the expression: 4/8 divided by 2

Accepted Answer

1/4

Answer

1/2

Answer

2/4

Answer

2/8

Question 33

You have 1/3 of a pizza and want to share it equally between 2 friends. What fraction of the entire pizza will each friend get?

Accepted Answer

1/6

Answer

1/3

Answer

2/3

Answer

1/2

Question 34

Which of these is NOT a method for multiplying fractions?

Accepted Answer

Dividing the first fraction by the second fraction

Answer

Multiplying the numerators and multiplying the denominators

Answer

Inverting the second fraction and multiplying

Answer

Multiplying the fraction by its reciprocal

Question 35

Which of these is a mixed number?

Accepted Answer

2 1/2

Answer

3/4

Answer

1.5

Answer

0.75

Question 36

Find the value of 5/6 divided by 1/2. Make sure to simplify your answer.

Accepted Answer

5/3

Answer

10/3

Answer

3/5

Answer

2/15

Question 37

Which of the following is NOT a correct method for multiplying fractions?

Accepted Answer

Adding the fractions

Answer

Multiplying the numerators together then the denominators together

Answer

Inverting the second fraction and multiplying

Question 38

What is the reciprocal of 2/3?

Accepted Answer

3/2

Answer

3/5

Answer

2/5

Answer

5/2

Question 39

To calculate 2/3 multiplied by 3/4, which method do we use?

Accepted Answer

Multiply the numerators and multiply the denominators.

Answer

Add the numerators and add the denominators.

Answer

Subtract the numerators and subtract the denominators.

Answer

Divide the numerators and divide the denominators.

Question 40

What is the value of 3/5 divided by 2/3?

Accepted Answer

9/10

Answer

6/10

Answer

3/10

Answer

10/9

Question 41

What is the area of a rectangle with a length of 3/4 meters and a width of 1/2 meters?

Accepted Answer

3/8

Answer

1/4

Answer

1/2

Answer

3/4

Question 42

Which fraction is greater than 1?

Accepted Answer

3/2

Answer

1/4

Answer

1/2

Answer

2/3

Question 43

A baker uses 1/4 cup of flour to make one batch of cookies. How much flour does he need to make 3 batches?

Accepted Answer

3/4 cup

Answer

1 cup

Answer

3 cups

Answer

1/12 cup

Question 44

What is 2/3 of 12?

Accepted Answer

8

Answer

9

Answer

6

Answer

4

Question 45

A rope is 10 meters long. If you cut it into 5 equal pieces, what is the length of each piece?

Accepted Answer

2 meters

Answer

1/5 meter

Answer

1/2 meter

Answer

5 meters

Question 46

What is 1/2 divided by 3?

Accepted Answer

1/6

Answer

2/3

Answer

1/3

Answer

3/2

Question 47

A pizza is cut into 8 slices. If you eat 3/4 of the pizza, how many slices did you eat?

Accepted Answer

6

Answer

3

Answer

2

Answer

4

Question 48

A recipe calls for 1/3 cup of sugar. You want to make 1/2 of the recipe. How much sugar do you need?

Accepted Answer

1/6 cup

Answer

1/2 cup

Answer

1/4 cup

Answer

2/3 cup

Question 49

What is 3/4 divided by 2?

Accepted Answer

3/8

Answer

2/3

Answer

3/2

Answer

6/4

Question 50

A painter uses 2/5 of a can of paint to cover one wall. How many cans of paint does he need to cover 5 walls?

Accepted Answer

2

Answer

5/2

Answer

1

Answer

10/5

Question 51

A ribbon is 1/3 meter long. You cut it into 4 equal pieces. What is the length of each piece?

Accepted Answer

1/12 meter

Answer

4/3 meter

Answer

1/4 meter

Question 52

You have 2/3 of a chocolate bar. You want to share it equally with your friend. What fraction of the whole chocolate bar will each of you get?

Accepted Answer

1/3

Answer

1/6

Answer

1/2

Answer

2/6