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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
● Rational Numbers - Worksheets
Worksheet on Equivalent Rational Numbers
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Worksheet on Standard form of a Rational Number
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Worksheet on Adding Rational Numbers
Worksheet on Properties of Addition of Rational Numbers
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Subtraction of Rational Number
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Worksheet on Multiplication of Rational Number
Worksheet on Properties of Multiplication of Rational Numbers
Worksheet on Division of Rational Numbers
Worksheet on Properties of Division of Rational Numbers
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● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
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