Question

The numerator of a fraction is 6 less than the denominator. I 3 is added to the
numerator, the fraction becomes equal to Find the original fraction​

Answer 1

Step-by-step explanation:

LET THE DENOMINATOR BE x

Therefore,

THEREFORE THE NUMERATOR= x-6

ACCORDING TO THE QUESTION,

$\frac{3 + (x - 6)}{x} = \frac{2}{3}$

$\frac{3 + x - 6}{x} = \frac{2}{3}$

$\frac{ - 3 + x}{x} = \frac{2}{3}$

$- 3 + x = \frac{2}{3} \times x$

$- 3 = \frac{2x}{3} - x$

$- 3 = \frac{2x - 3x}{3}$

$- 3 = \frac{ - x}{3}$

$\frac{ - x}{3} = - 3$

$- x = - 3 \times 3$

$- x = - 9$

$- x \times ( - 1) = - 9 \times ( - 1)$

$x = 9$

DENOMINATOR =9

NUMERATOR= (9-6)=3

THEREFORE,

FRACTION

3/9

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