Worksheet on Subtracting Rational Numbers
Practice the questions given in the worksheet on subtracting rational numbers. The questions are based on subtracting rational numbers with same denominators and subtracting rational numbers with different denominators.
We know, for any two rational numbers a/b and c/d, we have a/b - c/d = a/b + (negative of c/d)
1. Subtract the first rational number from the second in each of the following:
(i) 3/8, 5/8
(ii) -7/9, 4/9
(iii) -2/11, -9/11
(iv) 11/13, -4/13
(v) 1/4, -3/8
(vi) -2/3, 5/6
(vii) -6/7, -13/14
(viii) 3/4, 5/6
2. Evaluate each of
the following:
(i) 2/3 - 3/5
(ii) -4/7 - 2/(-3)
(iii) 4/7 - (-5)/(-7)
(iv) -2 - 5/9
(v) -3/-8 - (-2)/7
(vi) -4/13 - (-5)/26
(vii) -5/14 - (-2)/7
(viii) 13/15 - 12/25.
3. The sum of the two numbers is 5/9. If one of the numbers is 1/3, find the other.
4. The sum of two numbers is -1/3. If one of the numbers is -12/3, find the other.
5. The sum of the two numbers is -4/3. If one of the numbers is -5, find the other.
6. The sum of the two rational numbers is -8. If one of the numbers is -15/7, find the other.
7. What should be added to -7/8 so as to get 5/9?
8. What number should be added to -5/11 so as to get 26/33?
9. What number should be added to -5/7 to get -2/3?
10. What number should be subtracted from -5/3 to get 5/6?
11. What number should be subtracted from 3/7 to get 5/4?
12. Fill in the blanks:
(i) -4/13 - (-3)/13 = ……
(ii) (-9)/14 + …… = -1
(iii) (-7)/9 + …… = 3
(iv) …… + 15/23 = 4
Answers for the worksheet on subtracting rational numbers are given below to check the exact answers of the above questions on subtraction of two rational numbers.
Answers:
1. (i) 1/4
(ii) 11/9
(iii) -7/11
(iv) -15/13
(v) -5/8
(vi) 3/2
(vii) -1/14
(viii) 1/12
2. (i) 1/15
(ii) 2/21
(iii) -1/7
(iv) -23/9
(v) 37/56
(vi) -3/26
(vii) -1/14
(viii) 29/75
3. 2/9
4. 11/3
5. 11/3
6. -41/7
7. 103/72
8. 41/33
9. 1/21
10. -5/2
11. -23/28
12. (i) -5/26
(ii) -5/14
(iii) 34/9
(iv) 77/23
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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
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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
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Subtraction of Rational Number with Different Denominator
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Properties of Multiplication of Rational Numbers
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Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
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