Question

When the numerator of a fraction is increased by 4, the fraction increases by 2/3. What is the denominator of the fraction?

Class 10th

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Answer 1

Let the fraction be x/y

Numerator is increased by 4

Then fraction becomes x/y + 2/3

(x+4)/y = x/y + 2/3

4/y = 2/3

y = 6


So, the denominator is 6

Answer 2

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Let the fraction be x/y

According to the question,

$\frac{x + 4}{y} = \frac{x}{y} + \frac{2}{3} \\ \\ = > \frac{x}{y} + \frac{4}{y} = \frac{x}{y} + \frac{2}{3} \\ \\ = > \frac{4}{y} = \frac{2}{3} \\ \\ = > 2y = 12 \\ \\ = > y = 6$


Thus, the denominator = 6

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