Fractions · Ages 9–10
Same denominators: adding, subtracting and simplifying worksheet
Part of: Improper fractions, mixed numbers and same denominators
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Same denominators: adding, subtracting and simplifying worksheet
Fractions · Ages 9–10
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)
1.710 − 110
Answer in simplest form
Answer:
2.712 − 112
Answer in simplest form
Answer:
3.1 − 56
Answer in simplest form
Answer:
4.56 − 16
Answer in simplest form
Answer:
5.16 + 16
Answer in simplest form
Answer:
6.38 + 18
Answer in simplest form
Answer:
7.13 + 13
Answer in simplest form
Answer:
8.14 + 14
Answer in simplest form
Answer:
9.910 − 310
Answer in simplest form
Answer:
10.89 − 59
Answer in simplest form
Answer:
11.17 + 57
Answer in simplest form
Answer:
12.910 − 110
Answer in simplest form
Answer:
Part B: Word problems (4 marks each)
13.Chi-keung ate 37 of a pizza and Ka-lok ate 17 of the same pizza. What fraction of the pizza is left?
Answer in simplest form
Working:
Answer:
14.Ka-yan painted 18 of a fence on Monday. On Tuesday, she painted 38 of the fence more than on Monday. What fraction of the fence did she paint on Tuesday?
Answer in simplest form
Working:
Answer:
15.Ka-yee ate 27 of a pizza and Ming ate 17 of the same pizza. What fraction of the pizza is left?
Answer in simplest form
Working:
Answer:
16.Tsz-hin painted 29 of a fence on Monday. On Tuesday, he painted 29 of the fence more than on Monday. What fraction of the fence did he paint on Tuesday?
Answer in simplest form
Working:
Answer:
17.Tsz-ching ate 311 of a pizza and May ate 311 of the same pizza. What fraction of the pizza did they eat altogether?
Answer in simplest form
Working:
Answer:
18.Ka-lok ate 310 of a pizza and Ka-yee ate 110 of the same pizza. What fraction of the pizza did they eat altogether?
Answer in simplest form
Working:
Answer:
Show the answers and working
Same denominators: adding, subtracting and simplifying worksheet: Answers and working
Part A: Working out and filling in
1. 710 − 110 = 35
710 − 110: keep the denominator, subtract the numerators, 7 − 1 = 6 → 610; simplify, dividing the numerator and denominator by their highest common factor 2: 6 ÷ 2 = 3, 10 ÷ 2 = 5 → 35
2. 712 − 112 = 12
712 − 112: keep the denominator, subtract the numerators, 7 − 1 = 6 → 612; simplify, dividing the numerator and denominator by their highest common factor 6: 6 ÷ 6 = 1, 12 ÷ 6 = 2 → 12
3. 1 − 56 = 16
1 − 56: write 1 as 66, then subtract the numerators, 6 − 5 = 1 → 16, already in simplest form
4. 56 − 16 = 23
56 − 16: keep the denominator, subtract the numerators, 5 − 1 = 4 → 46; simplify, dividing the numerator and denominator by their highest common factor 2: 4 ÷ 2 = 2, 6 ÷ 2 = 3 → 23
5. 16 + 16 = 13
16 + 16: keep the denominator, add the numerators, 1 + 1 = 2 → 26; simplify, dividing the numerator and denominator by their highest common factor 2: 2 ÷ 2 = 1, 6 ÷ 2 = 3 → 13
6. 38 + 18 = 12
38 + 18: keep the denominator, add the numerators, 3 + 1 = 4 → 48; simplify, dividing the numerator and denominator by their highest common factor 4: 4 ÷ 4 = 1, 8 ÷ 4 = 2 → 12
7. 13 + 13 = 23
13 + 13: keep the denominator, add the numerators, 1 + 1 = 2 → 23, already in simplest form
8. 14 + 14 = 12
14 + 14: keep the denominator, add the numerators, 1 + 1 = 2 → 24; simplify, dividing the numerator and denominator by their highest common factor 2: 2 ÷ 2 = 1, 4 ÷ 2 = 2 → 12
9. 910 − 310 = 35
910 − 310: keep the denominator, subtract the numerators, 9 − 3 = 6 → 610; simplify, dividing the numerator and denominator by their highest common factor 2: 6 ÷ 2 = 3, 10 ÷ 2 = 5 → 35
10. 89 − 59 = 13
89 − 59: keep the denominator, subtract the numerators, 8 − 5 = 3 → 39; simplify, dividing the numerator and denominator by their highest common factor 3: 3 ÷ 3 = 1, 9 ÷ 3 = 3 → 13
11. 17 + 57 = 67
17 + 57: keep the denominator, add the numerators, 1 + 5 = 6 → 67, already in simplest form
12. 910 − 110 = 45
910 − 110: keep the denominator, subtract the numerators, 9 − 1 = 8 → 810; simplify, dividing the numerator and denominator by their highest common factor 2: 8 ÷ 2 = 4, 10 ÷ 2 = 5 → 45
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. Chi-keung ate 37 of a pizza and Ka-lok ate 17 of the same pizza. What fraction of the pizza is left? (Answer: 37)
37 + 17 = 47; 1 − (37 + 17) = 37
14. Ka-yan painted 18 of a fence on Monday. On Tuesday, she painted 38 of the fence more than on Monday. What fraction of the fence did she paint on Tuesday? (Answer: 12)
18 + 38 = 12
15. Ka-yee ate 27 of a pizza and Ming ate 17 of the same pizza. What fraction of the pizza is left? (Answer: 47)
27 + 17 = 37; 1 − (27 + 17) = 47
16. Tsz-hin painted 29 of a fence on Monday. On Tuesday, he painted 29 of the fence more than on Monday. What fraction of the fence did he paint on Tuesday? (Answer: 49)
29 + 29 = 49
17. Tsz-ching ate 311 of a pizza and May ate 311 of the same pizza. What fraction of the pizza did they eat altogether? (Answer: 611)
311 + 311 = 611
18. Ka-lok ate 310 of a pizza and Ka-yee ate 110 of the same pizza. What fraction of the pizza did they eat altogether? (Answer: 25)
310 + 110 = 25
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