Worksheet on Division of Rational Numbers

Practice the questions given in the worksheet on division of rational numbers. We know, for any two rational numbers a/b and c/d (not equals to 0), we have a/b ÷ c/d = a/b × d/c.

1. Divide the rationals:

(i) 1 by 1/2

(ii) 5 by -5/7

(iii) -3/4 by 9/-16

(iv)-7/8 by -21/16

(v) 7/-4 by 63/64

(vi) 0 by -7/5

(vii) -3/4 by -6

(viii) 2/3 by -7/12

2. Simplify: 

(i) 4/9 ÷ -5/12

(ii) -8 ÷ (-7/16)

(iii) -12/7 ÷ (-18)

(iv) (-1/10) ÷ (-8/5)

(v) (-16/35) ÷ (-15/14)

(vi) {(-65/14) ÷ (13/7)}

3. The product of two rational numbers is 15. If one of the numbers is -10, find the other.

4. The product of two rational numbers is -9. If one of the numbers is -12, find the other.

5. The product of two rational numbers is -16/9. If one of the numbers is -4/3, find the other.

6. By what rational number should we multiply -15/56 to get -5/7?

7. By what rational number should -8/39 be multiplied to obtain 1/26?

8. By what number should -33/8 be divided to get -11/2?

9. The product of two rational numbers is -8/9. If one of the numbers is -4/15, find the other.

10. By what number should we multiply -1/6, so that the product may be -23/9?

11. By what number should -33/16 be divided to get -11/4?

12. Fill in the blanks:

(i) 9/8 ÷ (_____) = -3/2

(ii) (_____) ÷ (-7/5) = 10/19

(iii) (_____) ÷ (-3) = -4/15

(iv) (-12) ÷ (_____) = -6/5

Answers for the worksheet on division of rational number are given below to check the exact answers of the above division.

Answers:

1. (i) 2

(ii) -7

(iii) 4/3

(iv) 2/3

(v) -16/9

(vi) 0

(vii) 1/8

(viii) -8/7

2. (i) -16/15

(ii) 128/7

(iii) 2/21

(iv) 1/16

(v) 32/75

(vi) -5/2

3. -3/2

4. 3/4

5. 4/3

6. 8/3

7. -3/16

8. 3/4

9. 10/3

10. 46/3

11. 3/4

12. (i) -3/4

(ii) -14/19

(iii) 4/5

(iv) 10

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