Fractions And Decimals Extra Questions For Practice | Class 7 NCERT Maths Solutions

CLASS 7 MATHEMATICS | FRACTIONS AND DECIMALS – Extra Questions for practice

Fractions:

Answer the following:

1. Write first five equivalent fractions of 2/3.

2. Arrange the following in descending order: 2/7, 4/3, 5/21

3. A rectangular sheet of paper is 5/2 m long and 3/5 m wide. Find its perimeter.

4. Find ½ of 36.

5. Find ¼ of 5/8.

6. Anu purchased 2 ¼ kg apples and 4 ¾ kg oranges. What is the total weight of fruits purchased by her?

7. Multiply the following:

a) 2/5 x 4/7
b) ½ x ¾

8. If there are 5 pieces of cake and each person gets 5/3 of a piece of cake, how many people get cake?

9. Which is greatest?

2/3 of 4/5 or 3/5 of 4/3.

10. Find a) ¼ of 3/5
b) 1/7 of 3/10.

ANSWERS:

1. Equivalent fractions of 2/3 are 2/3, 4/6, 6/9, 8/12, 10/15.

2. First convert to like fractions.

2/7 = 6/21 ( Multiply both numerator and denominator by 3)
4/3 = 28/21 (Multiply both numerator and denominator by 7)
Descending order is 28/21, 6/21, 5/21.
So 4/3, 2/7, 5/2 is the descending order.

3. Given length= 5/2 m and Breadth = 3/5 m

Perimeter = 2 x (length + breadth)
= 2 x (5/2 + 3/5)
= 2 x (25 +6)/10
= 2 x 31/10
= 31/5 m

4. ½ of 36 = ½ x 36 = 18

5. ¼ of 5/8 = ¼ x 5/8 = 5/32.

6. Weight of apples = 2 ¼ kg

Weight of oranges = 4 ¾ kg
Total weight of fruits = 2 ¼ + 4 ¾
Convert to improper fractions,
2 ¼ = 9/4
4 ¾ = 19/4
2 ¼ + 4 ¾ = 9/4 + 19/4 = 28/4 = 7 kg

7. a) 2/5 x 4/7 = 8/35

b) ½ x ¾ = 3/8.

8. Total number of pieces of cake = 5

Piece of cake each one get = 5/3
Number of persons = 5 divided by 5/3
= 5 x 3/5 = 15/5 =3

9. 2/3 x 4/5 = 8/15

3/5 x 4/3 = 12/15.
Since 12 is greater than 8, 12/15 is greater than 8/15.

10. a) ¼ x 3/5 = 3/20.
b) 1/7 x 3/10 = 3/70.