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Question

Mark the correct answer in the following:
Choose the correct statement:

A
$$(5:8) < (3:4)$$
B
None of the above
C
$$(5:8) > (3:4)$$
D
two ratios cannot be compared
Solution
Verified by Toppr

Correct option is B. $$(5:8) < (3:4)$$
We know that
$$5:8=5/8$$ and
$$3:4=3/4$$

To compare the ratios, we make their denominator same.
$$\therefore 5:8=\dfrac 58$$
And, $$3:4=\dfrac34=\dfrac68 $$ [Multiplying both numerator and denominator by $$2$$]

Since, $$5<6$$
$$\Rightarrow \dfrac58<\dfrac68$$
$$\therefore (5:8) < (3:4)$$

Hence, Option (B) is the correct answer.

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