Question

A boy on being asked 13/14 of certain fraction had made the mistake of dividing the fraction by 13/14 and so got an answer that exceeded the correct answer by 3/65. The fraction is​

Answer 1

Answer:

$\frac{16}{45}$

Step-by-step explanation:

Let the fraction be x.

$\frac{13}{14} of x = \frac{13}{14}$ ÷ $x - \frac{3}{65}$

∴ $\frac{13x}{14} = \frac{14x}{13} - \frac{3}{65}$

∴ $\frac{14x}{13} - \frac{13x}{14} = \frac{3}{65}$

∴ $\frac{196x - 169x}{182} = \frac{3}{65}$

∴ $\frac{27x}{182} = \frac{3}{65}$

∴ $x = \frac{3}{65} * \frac{182}{27}$

∴ $x = \frac{16}{45}$

∴ The required fraction is $\frac{16}{45}$.

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Answer 2

Answer:

13/45

Step-by-step explanation:

13/45 is the right answer.

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