Fractions · Ages 9–10
Whole and mixed numbers worksheet
Part of: Improper fractions, mixed numbers and same denominators
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Whole and mixed numbers worksheet
Fractions · Ages 9–10
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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)
1.6 69 + 2 29 = 9
Fill in each blank
Answer:
2.1 − 18 =
Answer in simplest form
Answer:
3.5 211 + 1 111 = 11
Fill in each blank
Answer:
4.7 211 − 3 511 = 11
Fill in each blank
Answer:
5.3 − 59 = 9
Fill in each blank
Answer:
6.5 1011 + 3 511 = 11
Fill in each blank
Answer:
7.6 48 + 1 58 = 8
Fill in each blank
Answer:
8.2 − 311 = 11
Fill in each blank
Answer:
9.6 511 − 3 611 = 11
Fill in each blank
Answer:
10.6 45 + 15 − 1 25 = 5
Fill in each blank
Answer:
11.5 611 + 1011 − 2 911 = 11
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
12.What is 7 − 15?
- A. 6 45
- B. 6 15
- C. 7 15
- D. 7 45
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.Tsz-hin has 7 litres of water and uses 79 litre for soup, leaving 9 litres.
Fill in each blank
Working:
Answer:
14.A bag holds 4 kg of rice. 1 67 kg is eaten on day one and 57 kg on day two. 7 kg is left.
Fill in each blank
Working:
Answer:
15.One rope is 1 511 m long and another is 5 711 m. Together they are 11 m long.
Fill in each blank
Working:
Answer:
16.Ka-lok runs 9 25 km in the morning and 2 45 km in the afternoon. The morning run is 5 km longer.
Fill in each blank
Working:
Answer:
17.One rope is 1 711 m long and another is 1 811 m. Together they are 11 m long.
Fill in each blank
Working:
Answer:
18.Ming runs 7 27 km in the morning and 5 47 km in the afternoon. The morning run is 7 km longer.
Fill in each blank
Working:
Answer:
Show the answers and working
Whole and mixed numbers worksheet: Answers and working
Part A: Working out and filling in
1. 8, 8
Work the wholes and the fractions apart: add 6 and 2, then the fractions.
Wholes 6 + 2 = 8; fractions 69 + 29 = 89.
2. 78
First write 1 as a fraction with denominator 8.
1 = 88, so 88 − 18 = 78, in simplest form 78.
3. 6, 3
Work the wholes and the fractions apart: add 5 and 1, then the fractions.
Wholes 5 + 1 = 6; fractions 211 + 111 = 311.
4. 3, 8
Look at the fractions first: can you take 511 from 211? If not, borrow 1 from 7.
211 is too small to take 511 from, so borrow 1: 7 211 = 6 1311; then subtract: 3 811.
5. 2, 4
3 has no fraction part, so borrow 1 and write it as a fraction with denominator 9.
Borrow 1 from 3 as 99: 2 99 − 59 = 2 49.
6. 9, 4
Add the wholes and the fractions apart. Do 1011 and 511 make more than 1? If so, carry 1.
Fractions 1011 + 511 = 1511, more than 1, so carry 1 to the wholes: 9 411.
7. 8, 1
Add the wholes and the fractions apart. Do 48 and 58 make more than 1? If so, carry 1.
Fractions 48 + 58 = 98, more than 1, so carry 1 to the wholes: 8 18.
8. 1, 8
2 has no fraction part, so borrow 1 and write it as a fraction with denominator 11.
Borrow 1 from 2 as 1111: 1 1111 − 311 = 1 811.
9. 2, 10
Look at the fractions first: can you take 611 from 511? If not, borrow 1 from 6.
511 is too small to take 611 from, so borrow 1: 6 511 = 5 1611; then subtract: 2 1011.
10. 5, 3
Left to right: first 6 45 + 15, carrying 1 if the fractions pass 1.
Then subtract 1 25, borrowing 1 if the fraction is too small.
Make them all improper fractions and work the numerators left to right: 345 + 15 − 75 = 285 = 5 35.
11. 3, 7
Left to right: first 5 611 + 1011, carrying 1 if the fractions pass 1.
Then subtract 2 911, borrowing 1 if the fraction is too small.
Make them all improper fractions and work the numerators left to right: 6111 + 1011 − 3111 = 4011 = 3 711.
Part B: Choose, or true or false
12. A. 6 45
Borrow 1 from 7 as 55. What is the whole part after borrowing?
7 = 6 55; subtract 15 to get 6 45.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 6, 2
7 litres has no fraction part: borrow 1 as 99 first, then subtract.
7 = 6 99; subtract 79 to leave 6 29 litres.
14. 1, 3
Left to right: 4 − 1 67 first; 4 has no fraction part, so borrow 1.
Then subtract 57, borrowing 1 again if the fraction is too small.
4 − 1 67 − 57: left to right, borrowing 1 when needed, leaves 1 37 kg.
15. 7, 1
Add the wholes and the fractions apart. Do 511 and 711 come to more than 1?
Add the wholes and the fractions apart: 1 + 5 = 6 and 511 + 711 = 1211; 6 + 1211 = 7 111 m.
16. 6, 3
To find how much longer, subtract. Can you take 45 from 25? If not, borrow 1 first.
25 is too small to take 45 from, so borrow 1 first: 6 35 km.
17. 3, 4
Add the wholes and the fractions apart. Do 711 and 811 come to more than 1?
Add the wholes and the fractions apart: 1 + 1 = 2 and 711 + 811 = 1511; 2 + 1511 = 3 411 m.
18. 1, 5
To find how much longer, subtract. Can you take 47 from 27? If not, borrow 1 first.
27 is too small to take 47 from, so borrow 1 first: 1 57 km.
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