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Which is the equivalent rational number of $79$ , whose denominator is 45?

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745

97

− 9 7

3545

answer is D.

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Detailed Solution

We need to find the equivalent rational number of

79

, whose denominator is 45.
The first step is to find the integer which will give 45 as the denominator, when multiplied with the given denominator 9.
Let that unknown integer be x.
Then,

9 × x = 45 ⇒ x = 5

The second step is to multiply the integer with the numerator and denominator of the given rational number.
i.e.,

7 × 5 9 × 5 = 3545

.
Therefore, the required equivalent is

3545

.
Hence, 4 is the correct option.

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