Question

the denominator of a rational number is 3 more than the numerator lt 1 is subtracted from numerator and denominator both the rational number in it's simplest from is one by fourth .what is the rational number​

Answer 1

Answer:

2/5

Step-by-step explanation:

Let x be the numerator and (x+3) be the denominator

According to question,

$\frac{x - 1}{(x + 3) - 1} = \frac{1}{4} \\ 4x - 4 = x + 2 \\ 4x - x = 2 + 4 \\ 3x = 6 \\ x = 2$

according to question,

numerator is x=2 , and

denominator is (x+3)=2+3=5

therefore, the rational number is

$\frac{2}{5}$

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