GRADE 8 Mathematics โ€“ Fractions Quiz

1. What is 1/2 of 6?

1
2
3
4
Explanation:

To find half of a number, you divide it by 2. So, half of 6 is 3.

2. Which is larger: 3/4 or 5/8?

5/8
1/2
1/4
3/4
Explanation:

To compare fractions, find a common denominator. When both fractions have a common denominator, the fraction with the larger numerator is bigger. In this case, 3/4 is larger than 5/8.

3. What is the reciprocal of 2/3?

3/2
3/1
2/4
1/3
Explanation:

The reciprocal of a fraction is obtained by flipping the numerator and denominator. So, the reciprocal of 2/3 is 3/2.

4. Simplify: 4/8

1/4
2/8
1/2
0.5
Explanation:

To simplify a fraction, find the greatest common factor of the numerator and denominator. In this case, the GCF of 4 and 8 is 4. Dividing both by 4 gives 1/2.

5. Which is equivalent to 5/10?

2/5
1/3
1/2
5/3
Explanation:

To find an equivalent fraction, divide or multiply both the numerator and the denominator by the same number. In this case, dividing by 5 gives 1/2 which is equivalent to 5/10.

6. What is the sum of 1/4 and 1/3?

3/5
7/12
2/7
4/12
Explanation:

To add fractions with different denominators, find a common denominator. In this case, the common denominator is 12. Adding 1/4 and 1/3 gives 7/12.

7. Which is the smallest: 2/5, 3/7, 1/3?

3/7
2/5
1/3
All are equal
Explanation:

To compare fractions, find a common denominator. In this case, all fractions have different denominators. Convert them to the same denominator to compare. 3/7 is the smallest of the three.

8. Multiply: 2/3 and 3/4

1/2
2/7
1/3
1/4
Explanation:

To multiply fractions, multiply the numerators together and the denominators together. Multiplying 2/3 and 3/4 gives 6/12 which simplifies to 1/2.

9. What is the difference between 2/5 and 1/4?

1/10
3/20
1/9
7/20
Explanation:

To subtract fractions with different denominators, find a common denominator. Subtracting 1/4 from 2/5 gives 3/20.

10. Divide: 1/2 by 1/4

1/8
4/1
1/2
2/1
Explanation:

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Dividing 1/2 by 1/4 gives 1/2 * 4/1 = 4/2 = 2.

11. Which is greater: 7/8 or 9/12?

9/12
7/8
All are equal
None
Explanation:

To compare fractions, find a common denominator. In this case, the common denominator is 24. Comparing 7/8 and 9/12 when converted to 24, 7/8 is greater.

12. Convert 3/5 into a percentage.

30%
50%
60%
75%
Explanation:

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. So, 3/5 = 0.6 = 60%.

13. Which is equal to 4/3?

2/3
3/2
1/4
4/5
Explanation:

To compare two fractions, they must have a common denominator. 4/3 is equal to 4*5/3*5 = 20/15 which simplifies to 4/5.

14. Add: 5/6 + 2/9

11/18
2/3
7/15
1/4
Explanation:

To add fractions with different denominators, find a common denominator. Adding 5/6 and 2/9 gives 15/18 + 4/18 = 19/18 which simplifies to 7/15.

15. Simplify: 8/12

3/8
2/3
1/3
2/4
Explanation:

To simplify a fraction, find the greatest common factor of the numerator and denominator. In this case, the GCF of 8 and 12 is 4. Dividing both by 4 gives 2/3.

16. Which is correct: 6/7 + 5/14 =?

19/14
11/14
11/18
19/21
Explanation:

To add fractions, find a common denominator. Adding 6/7 and 5/14 gives 24/28 + 10/28 = 34/28 which simplifies to 19/14.

17. What is the product of 2/3 and 4/5?

1/10
6/9
8/15
1/4
Explanation:

To multiply fractions, multiply the numerators together and the denominators together. Multiplying 2/3 and 4/5 gives 8/15.

18. Subtract: 2/3 - 1/6

1/2
1/6
1/9
3/4
Explanation:

To subtract fractions with different denominators, find a common denominator. Subtracting 2/3 and 1/6 gives 4/6 - 1/6 = 3/6 which simplifies to 1/2.

19. Divide: 6/7 by 4/9

27/28
9/28
2/3
18/7
Explanation:

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Dividing 6/7 by 4/9 gives 6/7 * 9/4 = 54/28 which simplifies to 27/14.

20. Which is smaller: 3/5 or 4/9?

None
3/5
4/9
All are equal
Explanation:

To compare fractions, find a common denominator. When both fractions have a common denominator, the fraction with the smaller numerator is smaller. So, 4/9 is smaller than 3/5.

21. Convert 7/8 into a decimal.

0.789
0.246
0.675
0.875
Explanation:

To convert a fraction to a decimal, divide the numerator by the denominator. So, 7/8 = 7 รท 8 = 0.875.

22. Which is equal to 5/6?

15/18
6/5
3/4
10/12
Explanation:

To compare two fractions, they must have a common denominator. 5/6 is equal to 5*2/6*2 = 10/12.

23. Add: 2/3 + 5/9

9/12
7/12
1/4
4/6
Explanation:

To add fractions with different denominators, find a common denominator. Adding 2/3 and 5/9 gives 6/9 + 5/9 = 11/9 which simplifies to 7/12.

24. Simplify: 16/24

4/6
2/3
3/4
1/2
Explanation:

To simplify a fraction, find the greatest common factor of the numerator and denominator. In this case, the GCF of 16 and 24 is 8. Dividing both by 8 gives 2/3.

25. Which is correct: 3/4 - 1/6 =?

1/5
1/2
1/4
1/3
Explanation:

To subtract fractions with different denominators, find a common denominator. Subtracting 3/4 and 1/6 gives 9/12 - 2/12 = 7/12 which simplifies to 1/2.

26. What is 1/2 of 18?

5
12
9
7
Explanation:

To find half of a number, you divide it by 2. 18 รท 2 = 9.

27. Which of the following is an improper fraction?

5/3
3/4
4/7
2/5
Explanation:

An improper fraction is when the numerator is greater than the denominator. 5/3 is an improper fraction.

28. What is 3/4 of 24?

16
10
9
18
Explanation:

To find a fraction of a number, you multiply the number by the fraction. 3/4 * 24 = 18.

29. Which of the following is equivalent to 2/5?

4/7
1/3
3/8
6/15
Explanation:

Equivalent fractions are fractions that represent the same value. 2/5 and 6/15 are equivalent fractions.

30. What is the reciprocal of 2/3?

3/5
1/3
3/2
2/3
Explanation:

The reciprocal of a fraction is when you swap the numerator and denominator. The reciprocal of 2/3 is 3/2.

31. Which of the following is the smallest fraction?

1/5
2/7
4/11
3/4
Explanation:

To compare fractions, you can find a common denominator. In this case, the smallest fraction is 1/5.

32. What is 4/9 of 45?

16
25
20
30
Explanation:

To find a fraction of a number, multiply the number by the fraction. 4/9 * 45 = 20.

33. Which of the following is a proper fraction?

9/4
3/7
5/2
7/3
Explanation:

A proper fraction is when the numerator is less than the denominator. 3/7 is a proper fraction.

34. What is 1/3 of 39?

11
13
14
12
Explanation:

To find a fraction of a number, multiply the number by the fraction. 1/3 * 39 = 13.

35. Which of the following fractions is between 1/4 and 1/2?

3/4
1/3
5/6
2/5
Explanation:

To find a fraction between two fractions, you can find a common denominator. 2/5 is between 1/4 and 1/2.