Practice the worksheet on adding fractions with common denominators where only the numerators are added and the denominators will remain same.
Follow the rules to find the sum of the fractions: \[Sum of fractions = \frac{Sum of numerators}{Same denominators}\]
To solve the questions follow the above rules to find the fractions having the same denominators with different numerators.
1. Add the following fractions:
(i) 1/5 + 3/5
(ii) 5/11 + 4/11
(iii) 5/7 + 1/7
(iv) 6/15 + 7/15
(v) 17/25 + 7/25
(vi) 10/32 + 9/32
(vii) 1/7 + 2/7 + 3/7
(viii) 4/19 + 6/19 + 3/19
(ix) 4/11 + 5/11 + 7/11
(x) 5/14 + 6/14 + 9/14
2. Find the sum of the following fractions:
(i) 9/16 + 5/16
(ii) 17/25 + 11/25
(iii) 16/17 + 9/17 + 11/17
(iv) 5/9 + 2/9 + 1/9
(v) 3/13 + 8/13 + 12/13
3. Fill in the blanks:
(i) 5/12 + 2/12 = _____
(ii) _____ + 7/2 = 9/2
(iii) 3/35 + 7/35 + 9/35 = _____
(iv) _____ + 9/47 = 22/47
(v) 13/19 + 8/19 + 12/19 = _____
Answers for the worksheet on adding fractions with common denominators are given below to check the exact answers of the above questions on finding the sum of the fractions when the denominators remains the same.
Answers:
1. (i) 4/5
(ii) 9/11 9
(iii) 6/7
(iv) 13/15
(v) 24/25
(vi) 19/32
(vii) 6/7
(viii) 13/19
(ix) 16/11
(x) 20/14
2. (i) 14/16
(ii) 28/25
(iii) 36/17
(iv) 8/9
(v) 23/13
3. (i) 7/12
(ii) 2/2 = 1
(iii) 19/35
(iv) 13/47
(v) 33/19
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