# Fraction Math Quiz

Reviewed by Janaisa Harris
Janaisa Harris, BA-Mathematics |
Mathematics Expert
Review Board Member
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA-Mathematics
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We all have learned about fractions in our mathematics classes. You must have studied them too, right? Let's revise those concepts with this fraction math quiz that we have designed below. So, start the quiz and get to test your mathematics knowledge today. Do you think you can pass this test? Give it a try, and we'll see how much you can score. Wishing you good luck on this test.

• 1.

### Change  to a mixed number.

• A.

2 and 6/3

• B.

4 and 1/4

• C.

8 and 2/3

• D.

6 and 1/3

C. 8 and 2/3
Explanation
To convert the improper fraction 26/3 into a mixed number, you need to divide the numerator (26) by the denominator (3). The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. Here's how you do it:
26 ÷ 3 = 8 with a remainder of 2
So, the mixed number is:
8 2/3

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• 2.

### Change  to a mixed number.

• A.

4 and 3/4

• B.

1 and 9/4

• C.

9 and 1/4

• D.

4/9

A. 4 and 3/4
Explanation
The mixed number representation of 19/4 is obtained by dividing the numerator (19) by the denominator (4).
19÷4=4 with a remainder of 3
So, the mixed number is 4 3/4.

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• 3.

### Change   to an improper fraction.

• A.

40/7

• B.

47/8

• C.

13/7

• D.

42/8

B. 47/8
Explanation
To change a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, the whole number is 4, the denominator is 8, and the numerator is 7. Multiplying 4 by 8 gives us 32, and adding 7 gives us 39. Therefore, the improper fraction equivalent of 40/7 is 39/8.

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• 4.

### Change  to an improper fraction.

• A.

45/4

• B.

16/4

• C.

25/4

• D.

44/4

A. 45/4
Explanation
To change a mixed number to an improper fraction, we need to multiply the whole number by the denominator and add the numerator. In this case, the whole number is 11 (since 45 divided by 4 equals 11 with a remainder of 1), the denominator is 4, and the numerator is 1. Therefore, the improper fraction is 45/4.

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• 5.

• A.

5/8

• B.

17/15

• C.

1 and 3/5

• D.

4/15

B. 17/15
Explanation
The least common multiple (LCM) of 3 and 5 is 15. So, you can use 15 as the common denominator. Convert the fractions to have the common denominator.
For 1/3, multiply both the numerator and denominator by 5: 1/3 * 5/5 = 5/15
For 4/5, multiply both the numerator and denominator by 3: 4/5 * 3/3 = 12/15
Add the converted fractions. 5/15 + 12/15 = 17/15
So, the sum of 1/3 and 4/5 is 17/15.

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• 6.

### Solve this:

• A.

2/8

• B.

12/20

• C.

11/24

• D.

9/24

C. 11/24
Explanation
To solve the expression 5/6−3/85/6−3/8, you'll need to find a common denominator and then subtract the fractions:
Step 1: Find a common denominator for 66 and 88. In this case, the least common denominator (LCD) is 2424.
Step 2: Rewrite the fractions with the common denominator:
56=5⋅46⋅4=202465â€‹=6⋅45⋅4â€‹=2420â€‹
38=3⋅38⋅3=92483â€‹=8⋅33⋅3â€‹=249â€‹
Step 3: Subtract the fractions with the common denominator:
2024−924=20−924=11242420â€‹−249â€‹=2420−9â€‹=2411â€‹
So, 5/6−3/8=11/245/6−3/8=11/24.

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• 7.

### Jill ran  mile on Monday and miles on Tuesday.  How many miles did she run altogether?

• A.

5 miles

• B.

4 miles

• C.

4 and 1/2 miles

• D.

3 miles

B. 4 miles
Explanation
Jill ran 1 1/3 mile on Monday and 2 2/3 miles on Tuesday. To find the total distance she ran, we add these two distances together. 1 1/3 + 2 2/3 = 1+2+1/3+2/3 = 4 miles. Therefore, Jill ran a total of 4 miles altogether.

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• 8.

### One cookie recipe calls for   cups of flour.  Another recipe calls for  cups of flour.  How many cups of flour would be needed for both recipes?

• A.

4

• B.

5 and 1/4

• C.

5

• D.

5 and 3/4

D. 5 and 3/4
Explanation
The correct answer is 5 and 3/4. To find the total amount of flour needed for both recipes, we add the amount of flour required in each recipe. Since one recipe calls for 4 cups of flour and the other recipe calls for 1 and 3/4 cups of flour, the total amount of flour needed for both recipes is 5 and 3/4 cups.

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• 9.
• A.

11 and 1/3

• B.

10 and 1/2

• C.

10 and 12/19

• D.

11 and 6/9

A. 11 and 1/3
Explanation
3 5/9 + 7 7/9=102/9
To express 102/9 as a mixed fraction, you can divide 102 by 9, which equals 11 with a remainder of 3. Therefore, the mixed fraction is:

11 3/9

However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

11 3/9 = 11 1/3

So, 102/9 as a mixed fraction is 11 1/3.

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• 10.

### ?

• A.

6 and 4/5

• B.

7 and 2/5

• C.

7 and 1/5

• D.

6 and 3/5

B. 7 and 2/5
Explanation
The correct answer is 7 and 2/5 because when we add 4 and 4/5 to 2 and 3/5, we get a sum of 37/5 which can be simplified to the mixed fraction 7 and 2/5.

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Janaisa Harris |BA-Mathematics |
Mathematics Expert
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.

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• Current Version
• Feb 04, 2024
Quiz Edited by
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Expert Reviewed by
Janaisa Harris
• Dec 04, 2014
Quiz Created by
Brick

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