Question

The numerator and denominator of a rational number are in the ratio 3:4.if the denominator is increase by 3.The ratio becomes 3:5. Find the rational number?

Answer 1

Answer:

The rational number is $\frac{9}{12}$.

Step-by-step explanation:

It is given that the numerator and denominator of a rational number are in the ratio 3:4.

Let the rational number be $\frac{3x}{4x}$.

If the denominator is increase by 3.The ratio becomes 3:5.

$\frac{3x}{4x+3}=\frac{3}{5}$

$5(3x)=3(4x+3)$

$15x=12x+9$

$15x-12x=9$

$3x=9$

$x=3$

The value of x is 3.

$\frac{3x}{4x}=\frac{3\times 3}{4\times 3}=\frac{9}{12}$

Therefore the rational number is $\frac{9}{12}$.