Worksheet on Adding Rational Numbers
Practice the questions given in the worksheet on adding rational numbers. The questions are based on adding rational numbers with same denominators and adding rational numbers with different denominators.
We know for any two rational numbers a/b and c/d to find a/b + c/d first we convert a/b and c/d to equivalent rational numbers having denominators equal to the LCM of b and d and then they are added.
1. Add the following rational numbers:
(i) -2/5 and 4/5
(ii) -6/11 and -4/11
(iii) -11/8 and 5/8
(iv) -7/3 and 1/3
(v) 5/6 and -1/6
(vi) -17/15 and -1/15
(vii) 13/7 and 2/7
(viii) 9/17 and -5/17
2. Add the following
rational numbers:
(i) 5/6 and 7/9
(ii) 3/4 and -3/5
(iii) 5/8 and-7/2
(iv) -8/9 and 11/6
(v) -5/16 and 7/24
(vi) 7/-18 and 8/27
(vii) 1/-12 and 2/-15
(viii) -1 and 3/4
(ix) 2 and -5/4
(x) 0 and -2/5
3. Simplify:
(i) 8/9 + -11/6
(ii) -5/16 + 7/24
(iii) 1/-12 + 2/-15
(iv) -8/19 + -4/57
(v) 7/9 + 3/-4
(vi) 5/26 + 11/-39
(vii) -16/9 + -5/12
(viii) -13/8 + 5/36
4. Add and express the sum as a mixed fraction:
(i) -12/5 + 43/10
(ii) 24/7 + -11/4
(iii) -31/6 + -27/8
Answers for the worksheet on adding rational numbers are given below to check the exact answers of the above questions on addition of two rational numbers.
Answers:
1. (i) 2/5
(ii) -10/11
(iii) -3/4
(iv) -2
(v) 2/3
(vi) -6/5
(vii) 15/7
(viii) 4/17
2. (i) 29/18
(ii) 3/20
(iii) 1/24
(iv) 17/18
(v) 1/48
(vi) -5/54
(vii) -13/60
(viii) -1/4
(ix) 3/4
(x) -2/5
3. (i) -17/18
(ii) -1/48
(iii) -13/60
(iv) -28/57
(v) 1/36
(vi) -7/78
(vii) -79/36
(viii) -107/72
4. (i) 1 9/10
(ii) 19/28
(iii) -8 13/24
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Is Every Rational Number a Natural Number?
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Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
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Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
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Representation of Rational Numbers on the Number Line
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Addition of Rational Number with Same Denominator
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