Question

pls answer clearly by step by step
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Answer 1

Please mark brainliest it helps.

The rational number is 12/20.

Answer 2

Let the numerator be x.

So, the denominator is greater than the numerator by 8= (x+8)

Now, the numerator is increased by 12 =(x+12)

Then the denominator is decreased by 2 = (x+8)-2

=x+8-2

=x+6

Now, the question says that after making these changes, the new rational number obtained = 5/2

So, we get the equation as:-

$= > \frac{(x + 12)}{(x + 6)} = \frac{5}{2}$

After doing cross multiplication, we get:-

$= > 2(x + 12) = 5(x + 6)$

$= > 2x + 24 = 5x + 30$

$= > 2x - 5x = 30 - 24$

$= > - 3x = 6$

$= > x = - \frac{ 6}{3}$

On cancelling the fraction by 3, we get:-

$= >x = - 2$

So, the fraction=10/4

So, x=-2

VERIFICATION:-

LHS:-

$= \frac{x + 12}{x + 6}$

$= \frac{ - 2 + 12}{ - 2 + 6}$

$= \frac{10}{4}$

On cancelling the fraction by 2, we get:-

$= \frac{5}{2}$

RHS:-

$= \frac{5}{2}$

So, LHS=RHS, hence the answer is correct.l, and it is verified.