Choose the correct statement:
(a) (5 : 8) > (3 : 4)
(b) (5 : 8) < (3 : 4)
(c) two ratios cannot be compared

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Solution

(b) (5 : 8) < (3 : 4)

We can write
$(5 : 8) = \frac{5}{8} and (3 : 4) = \frac{3}{4}$
Making the denominator equal:
5 and 3 × 2 = 6
8 4 × 2 8
As 6 > 5, 5 < 3
8 4

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