Question

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

Step-by-step explanation:

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Answer 2

SOLUTION

Let the denominator be 'x'

then numerator be x - 4.

Because the numerator of fraction is 4 less than denominator

                                                                                                   

According to the question,

we have to add 1 to both its numerator and denominator

$\dfrac{x-4+1}{x+1}=\dfrac{1}{2}\\\\\\\implies\dfrac{x-3}{x+1}=\dfrac{1}{2}\\\\\\\implies2\:(x-3)=1\:(x+1)\:\because Cross\:Multiplication.\\\\\\\implies2x-6=x+1\\\\\\\implies2x-x=1+6\\\\\\\implies \boxed{\bold{x=7}}$

                                                                                             

Now we have to put the value of 'x'

Denominator = 7

Numerator = $x-4=7-4=3$

∴ Fraction is = $\boxed{\bold{\dfrac{3}{7}}}$