Question

If numerator is 2 less than denominator of a rational number , and when 1 is subtracted from numerator and denominator both ,the rational number in its simplest form is 1/2. what is the rational number.

Answer 1

$hey \: dear \: here \: is \:your \: answer \: .....$
$let \: the \: denominator \: be \: x$
$numerator = 2 - x$
A/Q

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

$2(1 - x) = x - 1 \\ 2 - 2x = x - 1 \\ x = - 1 + 2 \\ - 2x - x= - 12 \\ x = 1$
numerator = 2-1 = 1
denominator= 1

Answer 2

Given:

If numerator is 2 less than denominator of a rational number and with when 1 is subtracted from numerator and denominator both the rational number in its simplest form is 1/2.

To find:

The rational number ?

Steps:

✭ Let the denominator be x and numerator be (x - 2).

When 1 is subtracted from numerator and denominator both the rational number in its simplest form is 1/2

➢ x - 2 - 1/x - 1 = 1/2

➢ x - 3/x - 1 = 1/2

➢ 2(x - 3) = x - 1

➢ 2x - 6 = x - 1

➢ 2x - x = 6 - 1

➢ x = 5

Rational number

➳ numerator/denominator

➳ x - 2/x

➳ 5 - 2/5 = 3/5

Hence, the required rational number is 3/5