Primary 4 Mathematics · Chapter 5 · Answers and explanations
Lesson 5.4: Mixed Numbers and Improper Fractions (answers)
Section A · Multiple choice 4 marks
1. Write 3 25 as an improper fraction.1 mark
(A) 65(B) 115(C) 175(D) 155
Answer: (C) 1753 wholes = 3 × 5 = 15 fifths. 15 + 2 = 17 fifths. So 3 25 = 175.
2. Write 174 as a mixed number.1 mark
(A) 4 41(B) 5 14(C) 3 54(D) 4 14
Answer: (D) 4 1417 ÷ 4 = 4 remainder 1. So 174 = 4 14.
3. Write 268 as a mixed number in its simplest form.1 mark
(A) 3 14(B) 3 28(C) 3 12(D) 4 14
Answer: (A) 3 1426 ÷ 8 = 3 remainder 2, so 268 = 3 28. Divide the top and bottom of 28 by 2: 14. The answer is 3 14.
4. Which improper fraction is equal to 5 34?1 mark
(A) 154(B) 234(C) 84(D) 534
Answer: (B) 2345 × 4 = 20. 20 + 3 = 23. So 5 34 = 234.
Section B · Write your answer 11 marks
5. Write 4 37 as an improper fraction.1 mark
Answer: 3174 × 7 = 28. 28 + 3 = 31. So 4 37 = 317.
6. Write 296 as a mixed number.1 mark
Answer: 4 5629 ÷ 6 = 4 remainder 5. So 296 = 4 56.
7. Write 6 13 as an improper fraction.1 mark
Answer: 1936 × 3 = 18. 18 + 1 = 19. So 6 13 = 193.
8. Write 3412 as a mixed number in its simplest form.1 mark
Answer: 2 5634 ÷ 12 = 2 remainder 10, so 3412 = 2 1012. Divide the top and bottom of 1012 by 2: 56. The answer is 2 56.
9. 5 23 = □3. Find the missing number.1 mark
Answer: 175 × 3 = 15. 15 + 2 = 17.
10. Write 4510 as a mixed number in its simplest form.2 marks
Answer: 4 1245 ÷ 10 = 4 remainder 5, so 4510 = 4 510. Divide the top and bottom of 510 by 5: 12. The answer is 4 12.
11. A recipe needs 2 34 cups of flour. Mrs Tan uses a scoop that holds 14 cup. How many scoops of flour does she need?2 marks
Answer: 11 scoops2 34 = 114 (2 × 4 = 8, 8 + 3 = 11). Each scoop is one quarter, so she needs 11 scoops.
12. Each pizza is cut into 8 equal slices. A class eats 45 slices. (a) How many pizzas did they eat? Give your answer as a mixed number. (b) They ordered 6 pizzas. How much pizza is left? Give your answer as a fraction of one pizza.2 marks
Answer: (a) 5 58 pizzas (b) 38 of a pizza(a) 45 ÷ 8 = 5 remainder 5, so they ate 5 58 pizzas. (b) 6 pizzas have 6 × 8 = 48 slices. 48 − 45 = 3 slices are left, which is 38 of a pizza.
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