Question

What is the correct descending order of the ratios 17: 42, 19: 21, 1: 7, 11: 13, 23 : 26 ?

• A. 23: 26, 19: 21, 11: 13, 17: 42, 1 : 7
• B. 19: 21, 23 : 26, 11: 13, 1 : 7, 17 : 42
• C. 19: 21, 11: 13, 23 : 26, 17: 42, 1: 7
• D. 19: 21, 23: 26, 11: 13, 17: 42, 1 : 7

Answer 1

Answer:

D. 19: 21, 23: 26, 11: 13, 17: 42, 1 : 7

Compare the ratios by converting them into fractions/decimals:

• $(17:42 = \frac{17}{42} \approx 0.405)$

• $(19:21 = \frac{19}{21} \approx 0.905)$

• $(1:7 = \frac{1}{7} \approx 0.143)$

• $(11:13 = \frac{11}{13} \approx 0.846)$

• $(23:26 = \frac{23}{26} \approx 0.885)$

  Arrange in descending order (largest to smallest):

19:21 > 23:26 > 11:13 > 17:42 > 1:7

Final Answer: 19:21, 23:26, 11:13, 17:42, 1:7