Question

The numerator of a fraction is 4 less than the denominator if 1 is added to both its numerator and denominator it becomes 3/6 find the fraction.​

Answer 1

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The numerator of a fraction is 4 less than the denominator if 1 is added to both its numerator and denominator it becomes 3/6 find the fraction

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✒ Fraction obtain is 3/7.

$\mathcal{\huge{\underline{\underline{\orange{Solution:-}}}}}$

Let the Denominator be x

∴ Numerator = x – 4

When 1 is added to both its numerator and denominator:

Given,

$\dfrac{x - 4 + 1}{x + 1} = \dfrac{1}{2}$

$\dfrac{x - 3}{x + 1} = \dfrac{1}{2}$

2(x-3) =1(x+1)

2x-6 = x +1

x =7

So, the fraction

$\dfrac{x - 4}{x}$

$\dfrac{(7 - 4)}{7}$

= 3/7

Thus the fraction is 3/7.

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Answer 2

Step-by-step explanation:

first hold the denominator be x

then the numerator be x-4

the fraction will be:x-4/x

A/Q

X-4+1/X+1=3/6

X-3/X+1=3/6

3x+3=6x-18

3x-6x= -18-3

-3x= -21

cancelled (-) from both sides we get:

x=21/3

x=7

the denominator is 7

so the numerator Will be 7-4=3

therefore the fraction will be= 3/7