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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Rational Number in Different Forms
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