# Arithmetic Challenge: Multiplying And Dividing Fractions Quiz

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
M
Community Contributor
Quizzes Created: 5 | Total Attempts: 19,012
Questions: 10 | Attempts: 13,131

Settings

The "Multiplying and Dividing Fractions" quiz is an educational assessment designed to test and reinforce your understanding of fundamental concepts related to fractions. Fractions are essential in everyday mathematics and are widely used in various real-life situations. This quiz will help you practice and improve your skills in multiplying and dividing fractions. In this quiz, you will encounter a range of questions that cover the basics of multiplying and dividing fractions, including proper fractions, improper fractions, mixed numbers, and whole numbers. You will learn how to multiply two fractions, divide fractions, simplify fractions, and work with fraction word problems.

This Read morequiz is suitable for students of all levels, from beginners to those seeking to review and solidify their knowledge of fractions. By taking this quiz, you'll have the opportunity to assess your proficiency in one of the fundamental building blocks of mathematics, gain confidence in your fraction manipulation skills, and prepare yourself for more advanced mathematical concepts. Whether you're a student looking to sharpen your skills or an educator searching for a valuable teaching tool, this quiz will help you master multiplying and dividing fractions.

• 1.

### Find  ¼ of 3/8.

• A.

4/12

• B.

3/32

• C.

2/3

B. 3/32
Explanation
To find ¼ of 3/8, we multiply 3/8 by ¼. When we multiply the numerators (3 * 1) and the denominators (8 * 4), we get 3/32. Therefore, the correct answer is 3/32.

Rate this question:

• 2.

### 2 and 2/5 times 1 and 1/2. Write your answer as a mixed number.

• A.

3 and 3/5

• B.

2 and 2/10

• C.

18/5

A. 3 and 3/5
Explanation
To multiply mixed numbers, we first convert them to improper fractions. 2 and 2/5 can be written as 12/5, and 1 and 1/2 can be written as 3/2. Multiplying 12/5 and 3/2 gives us 36/10, which can be simplified to 3 and 3/5.

Rate this question:

• 3.

### Find 2/3 divided by 4/5.

• A.

8/15

• B.

6/8

• C.

5/6

C. 5/6
Explanation
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have (2/3) divided by (4/5), which is the same as (2/3) multiplied by (5/4). Multiplying the numerators gives us 10, and multiplying the denominators gives us 12. Therefore, the result of the division is 10/12, which simplifies to 5/6.

Rate this question:

• 4.

### Find half of  2 ¾.

• A.

1 and 1/4

• B.

1 and 3/8

• C.

9 and 1/2

B. 1 and 3/8
Explanation
To find half of 2 ¾, we divide it by 2. When we divide 2 by 2, we get 1. When we divide ¾ by 2, we get 3/8. Therefore, half of 2 ¾ is 1 and 3/8.

Rate this question:

• 5.

### 1 and 5/7 divided by 1/2.

• A.

3 and 3/7

• B.

3

• C.

24/8

A. 3 and 3/7
Explanation
To divide a mixed number by a fraction, we first convert the mixed number into an improper fraction. In this case, 1 and 5/7 can be written as (7/7 + 5/7) = 12/7. Then, we multiply the numerator of the improper fraction by the reciprocal of the divisor. The reciprocal of 1/2 is 2/1. So, (12/7) * (2/1) = 24/7. Finally, we convert the resulting improper fraction back into a mixed number, which is 3 and 3/7.

Rate this question:

• 6.

### Michal earned \$40 last week. He spend 3/5 of his earnings on a video game. How much did he spend?

• A.

\$8

• B.

\$16

• C.

\$24

C. \$24
Explanation
Michal spent 3/5 of his earnings on a video game. To find out how much he spent, we need to calculate 3/5 of \$40. To do this, we multiply \$40 by 3/5, which gives us \$24. Therefore, Michal spent \$24 on the video game.

Rate this question:

• 7.

### Evan had 2/5 of a pizza left over. He gave 1/3 of the leftover pizza to his brother. How much of the total pizza did his brother get?

• A.

1/15

• B.

2/15

• C.

11/15

B. 2/15
Explanation
Evan had 2/5 of a pizza left over. He gave 1/3 of the leftover pizza to his brother. To find out how much of the total pizza his brother got, we need to multiply the fraction of leftover pizza by the fraction given to his brother. Multiplying 2/5 by 1/3 gives us 2/15, which represents the fraction of the total pizza that his brother received.

Rate this question:

• 8.

### Emily divided 1/2 of a box of cereal evenly among 4 bowls. How much of the box if cereal did she pour in each bowl?

• A.

2 and 1/2 of the box

• B.

1/16 of the box

• C.

1/8 of the box

C. 1/8 of the box
Explanation
Emily divided 1/2 of the box of cereal evenly among 4 bowls. To find out how much of the box of cereal she poured in each bowl, we need to divide 1/2 by 4. When we divide 1/2 by 4, we get 1/8, which means Emily poured 1/8 of the box of cereal in each bowl.

Rate this question:

• 9.

### You have 2 and 1/2 cups of sugar. A recipe calls for 2/3 of sugar. How many batches of the recipe can you make with the sugar you have?

• A.

3 and 3/4 batches

• B.

1 and 1/3 batches

• C.

1 and 2/3 batches

A. 3 and 3/4 batches
Explanation
To find out how many batches of the recipe can be made with 2 and 1/2 cups of sugar, we need to divide the total amount of sugar by the amount of sugar required for each batch. The recipe calls for 2/3 cup of sugar per batch. So, we can calculate it as 2 and 1/2 divided by 2/3. To divide a whole number by a fraction, we need to multiply the whole number by the reciprocal of the fraction. Therefore, 2 and 1/2 multiplied by 3/2 equals 3 and 3/4. Hence, we can make 3 and 3/4 batches of the recipe with the given amount of sugar.

Rate this question:

• 10.

### Last summer I picked 1/2 pound of blueberries. I used 2/3 of what I picked to make a cobbler and I froze the remaining blueberries. How many pounds did I use to make the cobbler?

• A.

2/6

• B.

1/6

• C.

1/3

C. 1/3
Explanation
The question states that the person picked 1/2 pound of blueberries. They used 2/3 of what they picked to make a cobbler. To find the amount used for the cobbler, we need to multiply 1/2 by 2/3. When we multiply these fractions, we get 2/6. Simplifying 2/6, we get 1/3. Therefore, the person used 1/3 pound of blueberries to make the cobbler.

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• May 24, 2024
Quiz Edited by
ProProfs Editorial Team
• Jan 10, 2010
Quiz Created by