Question

The numerator of rational 4less it Denominator if we add one we get 2/3 find it rational number​

Answer 1

Answer:

-1/3

Step-by-step explanation:

Here we are given,

The numerator is 4 less than denominator.

Also if we add one the fraction becomes 2/3.

Now let the numerator be x and the denominator be y.

Then the fraction will be,

x/y.

Also according to the question,

x = y - 4.

Now put the value of x in the fraction to get,

x/y = $\frac{y - 4}{y}$

Now add one,

$\frac{y - 4}{y} \\Thus,\\\frac{y - 4}{y} + 1= \frac{2}{3} \\Now,\\\frac{y - 4 + y}{y} = 2/3.\\ 2y - 4 = \frac{2y}{3}\\ 6y - 12 = 2y\\4y = 12\\y = 3.$

Now we get y = 3.

Put this in x = y - 4.

x = 3 - 4

x = -1.

Therfore the fraction is -1/3.