Mathematics: The denominator of a fraction is greater than its numerator by 7. If the numerator is increased by 1 and the denominator is increased by 4, the fraction becomes 1/3 . Find the original fraction.

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The denominator of a fraction is greater than its

nkh69

10.07.2021

4/11

Step-by-step explanation:

Let :

x = numerator

x + 7 = denominator $\frac{x}{x + 7}$

$\frac{x}{x+7} + \frac{1}{4} = \frac{1}{3}$

$\frac{x + 1}{x + 11} = \frac{1}{3}$

cross multiply

3(x + 1) = x + 11

3x + 3 = x + 11

combine like terms

3x - x = 11 - 3

2x = 8

x = 4

x + 7 = 4 + 7 = 11

original fraction = 4/11

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