Question

if numerator is 3 less than denominator of a rational number and when I is subtractor from numerator and denominator both the rational number in its simplest form is 1/2 what is rational number​

Answer 1

4/7

Step-by-step explanation:

numerator be x

then denominator is x+3

x/x+3=1/2

2x=x+3

x=3

fraction=4/7

Answer 2

Answer:

$\sf{The \: Rational \: Number \: is \: \: \dfrac{4}{7}}$

Step-by-step explanation:

Let,

Numerator of a rational number = x

Denominator of a rational number = x + 3

When 1 is subtractor from numerator and denominator both the rational number

Numerator of a rational number = x - 1

Denominator of a rational number = x + 3 - 1

➨ x + 3 - 1

➨ x + 2

According to question :

➨$\sf{\dfrac{x - 1}{x + 2} \: = \: \dfrac{1}{2}}$

➨ 2 (x - 1) = 1 (x + 2)

➨ 2x - 2 = 1x + 2

➨ 2x - 1x = 2 + 2

➨ 2x - 1x = 4

➨ 1x = 4

➨ x = 4 / 1

➨ x = 4

Numerator of a rational number = 4

Denominator of a rational number = x + 3

➨ x + 3

➨ 4 + 3

➨ 7

Therefore,

$\sf{The \: Rational \: Number \: is \: \: \dfrac{4}{7}}$