Rational Numbers Class 8 Worksheet with Answers
1. Express each of the following rational numbers in decimal form.
a. 23/100
b. 7/50
c. 37/25
d. 19/8
2. Express 4/7 as a rational number with
a. numerator 8
b. numerator –12
c. denominator 49
d. denominator –63
3. Which of the following rational numbers can be represented as
non-terminating decimals?
a. 15/25
b. 7/100
c. 9/75
d. 25/48
4. Find three rational numbers equivalent to each one of the
following rational numbers.
a. 3/7
b. −5/13
c. −4/−11
d. 7/−10
5. Add the following.
a. 4/5 + 7/10
b. 6/15 + 9/25
c. (-9/10) + (-2/15)
d. 11/25 + (-29/50)
6. Subtract the following.
a. 3/5 - 4/10
b. 11/12 - 9/24
c. (-11/18) - (-5/54)
d. 6/13 - (-8/26)
7. Simplify:
a. 3/4 + (-4/5)
b. 3/10 + 8/25
c. 4/18 + 12/-27
d. −3/17 + 5/68
8. Add and
express the sum as a mixed fraction if required:
a. ½ + 1/4 – 3/5
b. 2/5 - ¾ − 1/5
c. 7/15 + 7/10 – 12/25
d. 2/5 - 8/20 + 7/10
9. What number should be added to –1/3 to get 5/7?
10. The sum
of two rational numbers is –5/8. If one of the numbers is −4/7, find the other
number.
11. The sum
of two rational numbers is 8/9. If one of the numbers is 6/11, find the other
number.
12. Multiply.
a. 15/14 by 21/15
b. 12/18 by 36/48
c. 13/14 by 7/13
d. 5/6 by 18/25
13. Find the reciprocal of the following rational
numbers.
a. 3/13
b. -8/5
c. 7/17
d. -11/23
14. Divide.
a. 3 by 1/4
b. 3/7 by 48/21
c. −3/8 by 15/16
d. 7/8 by 35/40
15. The product of two rational numbers is 6/25. If one of the
rational numbers is –3/5, find the other rational number.
16. By what number should −6/9 be multiplied to get
12/45?
17. From a wire of length 12 m 25 cm,
pieces of equal length are cut off. How many pieces are cut off, if each piece
is 7/12 metre long?
ANSWERS
1. a.
0.23 b. 014
c. 1.48 d. 2.375
2. a.
8/14 b. -12/-21
c. 28/49 d. -36/-63
3. a.
Terminating decimal
b. Terminating decimal
c. Non-terminating decimal
d. Non-terminating decimal
4. a.
6/14, 9/21, 12/28
b. -10/26, -15/39, -20/52
c. 8/22, 12/33, 16/44
d. -14/20, -21/30, -28/40
5. a.
15/10 b. 57/75
c. -31/30 d. -7/50
6. a. 2/10 b. 13/24
c. -28/54 d. 20/26
7. a.
-1/20 b. 31/50
c. -12/54 d. -7/68
8. a. 3/20 b. -11/20
c. 103/150 d. 7/10
9. 22/21
10. -3/56
11. 34/99
12. a.
3/2 b. ½
c. ½ d. 3/5
13. a.
13/3 b. -5/8
c. 17/7 d. -23/11
14. a. 12 b. 7/16
c. -2/5 d. 1
15. -2/5
16. -2/5
17. 21
pieces
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