Fractions · Ages 8–9
Comparing fractions worksheet
Part of: First fractions
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Comparing fractions 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.Of 112 and 13, the bigger is 1
Answer:
2.Put these fractions in order, smallest first.
- A. 17
- B. 13
- C. 16
- D. 14
Write the letters in the right order
Answer:
3.Of 15 and 16, the bigger is 1
Answer:
4.Of 13 and 15, the bigger is 1
Answer:
5.512 < 12 < 712. What number goes in ?
Answer:
6.Put these fractions in order, smallest first.
- A. 78
- B. 48
- C. 410
Write the letters in the right order
Answer:
7.49 < 9 < 69. What number goes in ?
Answer:
8.69 < 9 < 89. What number goes in ?
Answer:
Part B: Choose, or true or false (2 marks each)
9.310 > 710
True or false?
Answer:
10.Which fraction is the greatest?
- A. 910
- B. 510
- C. 110
- D. 710
Choose the right answer
Answer:
11.1011 > 611
True or false?
Answer:
12.Which fraction is the smallest?
- A. 211
- B. 29
- C. 28
- D. 27
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.Ka-yan eats 1112 of a cake, and Ming eats 512 of another cake the same size. What fraction of a cake does the one who ate more eat?
Answer in simplest form
Working:
Answer:
14.Three ropes are the same length. 14 of the first is used, 112 of the second and 19 of the third. What fraction of its rope is the most used?
Answer in simplest form
Working:
Answer:
15.Ka-yan eats 47 of a cake, and Chi-keung eats 57 of another cake the same size. What fraction of a cake does the one who ate more eat?
Answer in simplest form
Working:
Answer:
16.Three ropes are the same length. 16 of the first is used, 111 of the second and 15 of the third. What fraction of its rope is the most used?
Answer in simplest form
Working:
Answer:
17.Tsz-ching eats 911 of a cake, and May eats 1011 of another cake the same size. What fraction of a cake does the one who ate more eat?
Answer in simplest form
Working:
Answer:
18.Three ropes are the same length. 19 of the first is used, 16 of the second and 110 of the third. What fraction of its rope is the most used?
Answer in simplest form
Working:
Answer:
Show the answers and working
Comparing fractions worksheet: Answers and working
Part A: Working out and filling in
1. 3
Both numerators are 1, so compare the size of one part: the smaller the denominator, are the parts bigger or smaller?
Both have numerator 1: the smaller the denominator, the bigger each part, so 13 is bigger.
2. A → C → D → B
All the numerators are 1: the bigger the denominator, the smaller each part and the smaller the fraction.
All have numerator 1, so bigger denominators are smaller: 17 < 16 < 14 < 13.
3. 5
Both numerators are 1, so compare the size of one part: the smaller the denominator, are the parts bigger or smaller?
Both have numerator 1: the smaller the denominator, the bigger each part, so 15 is bigger.
4. 3
Both numerators are 1, so compare the size of one part: the smaller the denominator, are the parts bigger or smaller?
Both have numerator 1: the smaller the denominator, the bigger each part, so 13 is bigger.
5. 6
Same denominator, so only the numerators matter: which whole number is greater than 5 and smaller than 7?
Same denominator, so the numerator is between 5 and 7: 6.
6. C → B → A
Find the two with the same denominator and the two with the same numerator. 48 can be compared with both: use it as a bridge.
48 and 78 share a denominator, so compare the numerators; 48 and 410 share a numerator, and the bigger denominator is the smaller fraction. So 48 is in the middle: 410 < 48 < 78.
7. 5
Same denominator, so only the numerators matter: which whole number is greater than 4 and smaller than 6?
Same denominator, so the numerator is between 4 and 6: 5.
8. 7
Same denominator, so only the numerators matter: which whole number is greater than 6 and smaller than 8?
Same denominator, so the numerator is between 6 and 8: 7.
Part B: Choose, or true or false
9. False
Same denominator, same-size parts: just compare the numerators, 3 and 7.
Same denominator, same-size parts: compare the numerators. The bigger one is bigger.
10. A. 910
All the denominators are 10, so the parts are the same size: just compare the numerators.
All have denominator 10: the biggest numerator wins.
11. True
Same denominator, same-size parts: just compare the numerators, 10 and 6.
Same denominator, same-size parts: compare the numerators. The bigger one is bigger.
12. A. 211
All the numerators are 2, so look as the denominators: the bigger the denominator, are the parts bigger or smaller?
All have numerator 2: the bigger the denominator, the smaller each part, and the smaller the fraction.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 1112
The cakes are the same size and the denominators match, so compare the numerators, 11 and 5.
Same denominator: the bigger numerator is more.
14. 14
All the numerators are 1, so compare one part of each: the smaller the denominator, are the parts bigger or smaller?
All have numerator 1: the smallest denominator has the biggest part, so the most is used.
15. 57
The cakes are the same size and the denominators match, so compare the numerators, 4 and 5.
Same denominator: the bigger numerator is more.
16. 15
All the numerators are 1, so compare one part of each: the smaller the denominator, are the parts bigger or smaller?
All have numerator 1: the smallest denominator has the biggest part, so the most is used.
17. 1011
The cakes are the same size and the denominators match, so compare the numerators, 9 and 10.
Same denominator: the bigger numerator is more.
18. 16
All the numerators are 1, so compare one part of each: the smaller the denominator, are the parts bigger or smaller?
All have numerator 1: the smallest denominator has the biggest part, so the most is used.
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