Question

please tell me it's equation

Answer 1

Let the denominator be x
Let the numerator be (x-5)
Orignal Rational number = $\frac{x-5}{x}$

The equation would be :-

$\frac{x-5-1}{x+2} = \frac{1}{5}$

Solving Further :-

$\frac{x-6}{x+2} = \frac{1}{5}$
Cross multiplying
5 (x-6) = 1 ( x+2)
5x - 30 = x+2
5x - x   = 2 +30
4x        = 32
x          = 32/4
x          = 8

Orignal Rational Number = $\frac{x-5}{x}$
                                            = $\frac{8-5}{9}$
                                            = $\frac{3}{8}$


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