Question 29

The denominator of a fraction is 5 more than twice its numerator. If the numerator is increased by 4 and the denominator is decreased by 1, the fraction becomes $$\frac{2}{3}$$. The original fraction is

Solution

Let the numerator be $$n$$, so the denominator is $$2n + 5$$. Then $$\frac{n + 4}{2n + 4} = \frac{2}{3}$$, so $$3n + 12 = 4n + 8$$ and $$n = 4$$. The original fraction is $$\frac{4}{13}$$.

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