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Primary 4 Mathematics · Chapter 5 · Answers and explanations

Lesson 5.5: Recall: Comparing and Ordering Fractions (answers)

Section A · Multiple choice 4 marks

1. Which comparison is correct?1 mark

(A) 12 < 13(B) 25 > 35(C) 58 = 34(D) 34 > 23
Answer: (D) 34 > 2334 = 912 and 23 = 812. 9 twelfths is more than 8 twelfths, so 34 > 23.

2. Which is the smallest fraction?1 mark

(A) 12(B) 56(C) 23(D) 34
Answer: (A) 12Change them to twelfths: 56 = 1012, 12 = 612, 23 = 812, 34 = 912. 6 twelfths is the smallest, so 12 is the smallest.

3. Arrange the fractions from the smallest to the greatest: 38, 12, 141 mark

(A) 12, 38, 14(B) 14, 38, 12(C) 38, 14, 12(D) 14, 12, 38
Answer: (B) 14, 38, 12In eighths: 38, 48 and 28. From smallest: 28, 38, 48, which is 14, 38, 12.

4. Which fraction is greater than 35?1 mark

(A) 12(B) 25(C) 710(D) 1120
Answer: (C) 71035 = 610. Only 710 is more than 610. (12 = 510, 25 = 410 and 1120 is less than 1220.)

Section B · Write your answer 11 marks

5. Write > or < in the box: 56 □ 791 mark

Answer: 56 > 79Change both to eighteenths: 56 = 1518 and 79 = 1418. 15 is more than 14, so 56 > 79.

6. Write >, < or = in the box: 45 □ 12151 mark

Answer: 45 = 1215Multiply the top and bottom of 45 by 3: 1215. They are equal.

7. Arrange the fractions from the smallest to the greatest: 12, 310, 251 mark

Answer: 310, 25, 12In tenths: 510, 310, 410. From smallest: 310, 410, 510. So the order is 310, 25, 12.

8. Arrange the fractions from the greatest to the smallest: 58, 34, 121 mark

Answer: 34, 58, 12In eighths: 58, 68 and 48. From greatest: 68, 58, 48, so the order is 34, 58, 12.

9. Strip A is 34 shaded and strip B is 56 shaded. The strips are the same length. Which fraction is greater?1 mark

AB
Answer: 56In twelfths, 34 = 912 and 56 = 1012. 10 twelfths is more, so 56 is greater. (Strip B has more shaded.)

10. Arrange the fractions from the smallest to the greatest: 23, 512, 342 marks

Answer: 512, 23, 34Change all to twelfths: 23 = 812, 512, 34 = 912. From smallest: 512, 812, 912. So the order is 512, 23, 34.

11. Ali drank 35 of a bottle of water, Ben drank 710 of an identical bottle and Cara drank 12 of another identical bottle. Who drank the most? Who drank the least?2 marks

Answer: Ben drank the most; Cara drank the leastIn tenths: Ali 610, Ben 710, Cara 510. 7 tenths is the most (Ben) and 5 tenths is the least (Cara).

12. Ria read 58 of her book, Sam read 35 of his book and Tia read 710 of her book. All the books have the same number of pages. Arrange the children from the one who read the least to the one who read the most.2 marks

Answer: Sam, Ria, TiaChange to fortieths (8, 5 and 10 all go into 40): Ria 2540, Sam 2440, Tia 2840. From least: Sam (2440), Ria (2540), Tia (2840).
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