Fractions · Ages 8–9
Adding and subtracting fractions with the same denominator worksheet
Part of: First fractions
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Adding and subtracting fractions with the same denominator worksheet
Fractions · Ages 8–9
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)
1.28 − 18 =
Answer in simplest form
Answer:
2.411 + 611 =
Answer in simplest form
Answer:
3.410 − 310 =
Answer in simplest form
Answer:
4.19 + 39 =
Answer in simplest form
Answer:
5.510 + 310 − 510 =
Answer in simplest form
Answer:
6.1 − 311 =
Answer in simplest form
Answer:
7.46 + 16 + 16 =
Answer in simplest form
Answer:
8.111 + 211 + 111 =
Answer in simplest form
Answer:
9.410 + 310 − 410 =
Answer in simplest form
Answer:
10.1 − 14 =
Answer in simplest form
Answer:
11.28 + 8 + 48 = 1
Answer:
12.310 + 10 + 410 = 1
Answer:
Part B: Word problems (4 marks each)
13.May drinks 18 of a bottle of juice. What fraction of the bottle is left?
Answer in simplest form
Working:
Answer:
14.Ming's mum uses 25 of a piece of cloth for a skirt and 15 for a bag. What fraction of the cloth is left?
Answer in simplest form
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15.Ka-yee eats 310 of a cake, and Ka-yee's little brother eats 610 of the same cake. What fraction of the cake do they eat altogether?
Answer in simplest form
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Answer:
16.Workers lay a path: 19 of it on the first day, 19 on the second and 39 on the third. What fraction of the path did they lay in the three days?
Answer in simplest form
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Answer:
17.Tsz-hin's mum uses 27 of a piece of cloth for a skirt and 27 for a bag. What fraction of the cloth is left?
Answer in simplest form
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18.Ka-yan eats 27 of a cake, and Ka-yan's little brother eats 57 of the same cake. What fraction of the cake do they eat altogether?
Answer in simplest form
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Answer:
Show the answers and working
Adding and subtracting fractions with the same denominator worksheet: Answers and working
Part A: Working out and filling in
1. 18
Same denominator: keep the denominator and just subtract the numerators.
Keep the denominator and subtract the numerators: 2 − 1 = 1, so 18.
2. 1011
Same denominator, same-size parts: keep the denominator and just add the numerators.
Keep the denominator and add the numerators: 4 + 6 = 10, so 1011.
3. 110
Same denominator: keep the denominator and just subtract the numerators.
Keep the denominator and subtract the numerators: 4 − 3 = 1, so 110.
4. 49
Same denominator, same-size parts: keep the denominator and just add the numerators.
Keep the denominator and add the numerators: 1 + 3 = 4, so 49.
5. 310
Keep the denominator and work the numerators left to right: add 3, then subtract 5.
Left to right: 5 + 3 = 8, 8 − 5 = 3, so 310.
6. 811
Think of 1 as 1111; then it's a subtraction with the same denominator.
Think of 1 as 1111: 1111 − 311 = 811.
7. 1
Keep the denominator and add the three numerators from left to right.
Keep the denominator and add the numerators left to right: 4 + 1 + 1 = 6, so 66.
8. 411
Keep the denominator and add the three numerators from left to right.
Keep the denominator and add the numerators left to right: 1 + 2 + 1 = 4, so 411.
9. 310
Keep the denominator and work the numerators left to right: add 3, then subtract 4.
Left to right: 4 + 3 = 7, 7 − 4 = 3, so 310.
10. 34
Think of 1 as 44; then it's a subtraction with the same denominator.
Think of 1 as 44: 44 − 14 = 34.
11. 2
1 is 88, so the three numerators must add up to 8.
1 = 88, so the numerators make 8: 8 − 2 − 4 = 2.
12. 3
1 is 1010, so the three numerators must add up to 10.
1 = 1010, so the numerators make 10: 10 − 3 − 4 = 3.
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 78
The whole bottle is 1, which is 88. Subtract the part that was drunk.
The whole bottle is 1 = 88: 88 − 18 = 78.
14. 25
The whole cloth is 1, which is 55. Subtract the parts used for the skirt and the bag.
55 − 25 − 15 = 25.
15. 910
The same cake, the same denominator: keep the denominator and add the two numerators.
310 + 610 = 910.
16. 59
All three days have 9 as the denominator: keep it and add the three numerators.
19 + 19 + 39 = 59.
17. 37
The whole cloth is 1, which is 77. Subtract the parts used for the skirt and the bag.
77 − 27 − 27 = 37.
18. 1
The same cake, the same denominator: keep the denominator and add the two numerators.
27 + 57 = 77.
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