Fraction Questions for Class 6

Fraction Questions for Class 6 play a major role in strengthening the maths concepts.

Fractions Class 6 Worksheet 1 with Answers

1. Find the reciprocal in the lowest form of the following fractions.

a. 240/80

b. 4/360

c. 720/120

d. 60/360

2. Fill in the blanks in each of the following:

a. Renu takes 15³/₅ minutes to reach school while Rohit takes 17⁷/₁₀ minutes. The difference of their time is ___________.

b. Riya travels 3/5 of a journey by train and the rest by car. If total distance is 150 km, then she travels __________ km by car.

c. 4/5 − 1/5 + 3/5 × 4/6 is equal to ___________.

d. In a basket of 10 dozen mangoes, 1/3 are rotten. The number of good mangoes in the basket is ___________.

3. What fraction of a day is

a. 4 hours

b. 10 hours

c. 19 hours

4. Find the perimeter of a square of side 16¹/₂ cm.

5. In a class of 60 students, 25 students secured good marks in mathematics, 20 students secured good marks in English and the rest secured good marks in both mathematics and English. Express the result in terms of fractions.

6. Choose the correct answer for each of the following:

a. In a school of 1800 students, 3/5 of them are girls. The number of boys in the school are

i. 360 ii. 720

iii. 1080 iv. 800

b. In a class of 45 students, 35 attended a mathematics workshop. The fraction of students who did not attend the workshop is

i. 2/9 ii. 7/9

iii. 9/16 iv. 7/16

c. Sum of the three fractions 9⅟₂, 5³/₄ and 8¹/₂ is equal to

i. 23³/₄ ii. 22³/₄

iii. 21¹/₂ iv. 96/4

d. The area of a rectangle is 32¹/₂ cm². If its length is 8³/₂ cm, then its width is

i. 2⁸/₁₉ cm ii. 4⁸/₁₉ cm

iii. 3³/₄ cm iv. 3⁸/₁₉ cm

7. A man covers a distance of 125 km. He travels 3/5 part by train, 9/25 part by bus and the remaining in an auto. Find the distance covered by auto.

Fractions Class 6 Worksheet 2 with Answers

1. A rod measuring 207 cm is to be cut into pieces of 2¹/₄ cm each. How many such pieces can be made?

2. State true or false.

a. 16/18 is greater than 8/9.

b. 3/5 of a metre is 60 cm.

c If 2¹/₄ part of a number is 40¹/₂, then the number is 36.

d. Two fractions are said to be like fractions if they have a common denominator.

3. By what number must 6²/₃ be multiplied so as to get 25⁵/₆?

4. Represent the following points on a number line:

a. 17/10, 18/10, 20/10

b. 1/5, 3/5, 5/5

5. Choose the correct answer for each of the following:

a. The fraction equivalent to 5/11 is

i. 15/21 ii. 15/33

iii. 40/85 iv. 5/22

b. Of the fractions 2/3, 5/6 and 5/12, the smallest fraction is

i. 2/3 ii. 5/6

iii. 5/12 iv. 4/6

c A fraction having its numerator greater than the denominator is called a

i. proper fraction

ii. improper fraction

iii. mixed fraction

iv. like fraction

d. If 2/5 of a number is 50, then the number is

i. 125 ii. 20

iii. 150 iv. 200

6. Simplify: (3¹/₈ – 3/16 + 5/24) ÷ 5¹/₄

7. What fraction of an hour is

a. 20 minutes

b. 55 minutes

c. 26 minutes

8. Nisha has 84 sweets which is to be shared with 3 friends. First friend gets 1/7, second friend gets 2/3, third friend gets 3/21 and Nisha gets remaining sweets. Find the number of sweets that Nisha gets?

9. The length of a rectangle is 2³/₄ m and breadth is 1⁵/₈. What is the perimeter?

10. Write the given fractions as mixed fractions:

a. 25/4 b. 18/ 5

c. 37/6 d. 49/8

ANSWERS

Worksheet 1

1. a. 1/3 b. 90

c. 1/6 d. 6

2. a. 2¹/₁₀minutes

b. 60 km

c. 1 d. 80

3. a. 1/6 b. 5/12

c. 19/24

4. 66 cm

5. 5/12 students secured good marks in Mathematics, 1/3 students secured good marks in English and 1/4 students secured good marks in both Mathematics and English.

6. a. ii b. i

c. i d. iv

7. 5 km

Worksheet 2

1. 92 pieces

2. a. False b. True

c. False d. True

3. 31/8

5. a. ii b. iii

c. ii d. i

6. 151/252

7. a. 1/3 b. 11/12