Question

4.
The numerator of a fraction is 4 less than the denominator. If 1 is added to both its
numerator and denominator, it becomes 1/2.Find the fraction​

Answer 1

0/1

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Answer 2

$\huge\boxed{\frac{3}{7}}$

Step-by-step explanation:

• Let The Numerator be x-4 and Denominater be x

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If 1 is added to both numerator as well as denominator , then it becomes $\bf\large{\frac{1}{2}}$

As per question :-

$\frac{(x-4)+1}{(x)+1} = \frac{1}{2} \\ => \frac{x-3}{x+1}=\frac{1}{2} \\ => \bf{By\:Cross\:Multiplication} \\ => 2(x-3) = x+1 \\ => 2x - 6 = x -1 \\ => 2x - x = 1 + 6 \\ => \boxed{x = 7}$

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Lets Put The Values :-

$\frac{x-4}{x} \\ =>\bf{x=7} \\ => \frac{7-4}{7} \\ => \boxed{\frac{3}{7}}$

Hope it helped