Fractions · Ages 10–11
Adding fractions with different denominators worksheet
Part of: Fractions with different denominators
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Adding fractions with different denominators worksheet
Fractions · Ages 10–11
Numsprite
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Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.38 + 12
Answer in simplest form
Answer:
2.712 − 38
Answer in simplest form
Answer:
3.34 − 15
Answer in simplest form
Answer:
4.12 + 110
Answer in simplest form
Answer:
5.34 − 16
Answer in simplest form
Answer:
6.23 − 712
Answer in simplest form
Answer:
7.34 − 58
Answer in simplest form
Answer:
8.79 − 13
Answer in simplest form
Answer:
9.89 − 12
Answer in simplest form
Answer:
10.14 − 110
Answer in simplest form
Answer:
11.78 − 112
Answer in simplest form
Answer:
12.112 + 58
Answer in simplest form
Answer:
Part B: Word problems (4 marks each)
13.Tsz-ching drank 25 L of water and Ka-lok drank 18 L. How many litres more did Tsz-ching drink than Ka-lok?
Answer in simplest form
Working:
Answer:
14.From a tin of paint, Tsz-hin used 13 and Chi-keung used 19. What fraction of the tin did they use altogether?
Answer in simplest form
Working:
Answer:
15.From a tin of paint, May used 14 and Ka-yee used 16. What fraction of the tin did they use altogether?
Answer in simplest form
Working:
Answer:
16.Tsz-ching drank 12 L of water and Ka-yan drank 17 L. How many litres more did Tsz-ching drink than Ka-yan?
Answer in simplest form
Working:
Answer:
17.From a tin of paint, May used 14 and Ming used 17. What fraction of the tin is left?
Answer in simplest form
Working:
Answer:
18.From a tin of paint, Ming used 13 and Chi-keung used 17. What fraction of the tin is left?
Answer in simplest form
Working:
Answer:
Show the answers and working
Adding fractions with different denominators worksheet: Answers and working
Part A: Working out and filling in
1. 38 + 12 = 78
38 + 12: a common denominator, the L.C.M. of 8 and 2, 8: 12 = 48; add the numerators, 3 + 4 = 7 → 78, already in simplest form
2. 712 − 38 = 524
712 − 38: a common denominator, the L.C.M. of 12 and 8, 24: 712 = 1424, 38 = 924; subtract the numerators, 14 − 9 = 5 → 524, already in simplest form
3. 34 − 15 = 1120
34 − 15: a common denominator, the L.C.M. of 4 and 5, 20: 34 = 1520, 15 = 420; subtract the numerators, 15 − 4 = 11 → 1120, already in simplest form
4. 12 + 110 = 35
12 + 110: a common denominator, the L.C.M. of 2 and 10, 10: 12 = 510; add the numerators, 5 + 1 = 6 → 610; simplify by their H.C.F., 2: 6 ÷ 2 = 3, 10 ÷ 2 = 5 → 35
5. 34 − 16 = 712
34 − 16: a common denominator, the L.C.M. of 4 and 6, 12: 34 = 912, 16 = 212; subtract the numerators, 9 − 2 = 7 → 712, already in simplest form
6. 23 − 712 = 112
23 − 712: a common denominator, the L.C.M. of 3 and 12, 12: 23 = 812; subtract the numerators, 8 − 7 = 1 → 112, already in simplest form
7. 34 − 58 = 18
34 − 58: a common denominator, the L.C.M. of 4 and 8, 8: 34 = 68; subtract the numerators, 6 − 5 = 1 → 18, already in simplest form
8. 79 − 13 = 49
79 − 13: a common denominator, the L.C.M. of 9 and 3, 9: 13 = 39; subtract the numerators, 7 − 3 = 4 → 49, already in simplest form
9. 89 − 12 = 718
89 − 12: a common denominator, the L.C.M. of 9 and 2, 18: 89 = 1618, 12 = 918; subtract the numerators, 16 − 9 = 7 → 718, already in simplest form
10. 14 − 110 = 320
14 − 110: a common denominator, the L.C.M. of 4 and 10, 20: 14 = 520, 110 = 220; subtract the numerators, 5 − 2 = 3 → 320, already in simplest form
11. 78 − 112 = 1924
78 − 112: a common denominator, the L.C.M. of 8 and 12, 24: 78 = 2124, 112 = 224; subtract the numerators, 21 − 2 = 19 → 1924, already in simplest form
12. 112 + 58 = 1724
112 + 58: a common denominator, the L.C.M. of 12 and 8, 24: 112 = 224, 58 = 1524; add the numerators, 2 + 15 = 17 → 1724, already in simplest form
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. Tsz-ching drank 25 L of water and Ka-lok drank 18 L. How many litres more did Tsz-ching drink than Ka-lok? (Answer: 1140 L)
25 − 18 = 1140
14. From a tin of paint, Tsz-hin used 13 and Chi-keung used 19. What fraction of the tin did they use altogether? (Answer: 49)
13 + 19 = 49
15. From a tin of paint, May used 14 and Ka-yee used 16. What fraction of the tin did they use altogether? (Answer: 512)
14 + 16 = 512
16. Tsz-ching drank 12 L of water and Ka-yan drank 17 L. How many litres more did Tsz-ching drink than Ka-yan? (Answer: 514 L)
12 − 17 = 514
17. From a tin of paint, May used 14 and Ming used 17. What fraction of the tin is left? (Answer: 1728)
14 + 17 = 1128; 1 − (14 + 17) = 1728
18. From a tin of paint, Ming used 13 and Chi-keung used 17. What fraction of the tin is left? (Answer: 1121)
13 + 17 = 1021; 1 − (13 + 17) = 1121
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