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Which of the following ratios is greatest?
Question

Which of the following ratios is greatest?

A.

41 : 64

B.

50 : 59

C.

26 : 90

D.

40 : 70

Correct option is B

Given:

Ratios to compare: 41 : 64, 50 : 59, 40 : 70, 26 : 90

Solution:

4164=0.640625,50590.84746,4070=470.57143,2690=13450.28889\frac{41}{64}=0.640625,\quad\frac{50}{59}\approx0.84746,\quad\frac{40}{70}=\frac{4}{7}\approx0.57143,\quad\frac{26}{90}=\frac{13}{45}\approx0.28889 

Since (0.84746) is the largest, the greatest ratio is 50 : 59.

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