Question

4. The numerator of a rational number is 8 less than its denominator. If the numerator is
1
increased by 2 and denominator is decreased by 1, the number obtained is Find the
2.
number​

Answer 1

Answer:

The number obtained would be 3/8

Answer 2

Answer:

3/ 11

Step-by-step explanation:

Let the denominator be x.

Therefore the numerator is x-8.

When numerator is increased by 2, it becomes= x-8+2

When denominator is decreased by 1, it becomes= x-1

The no. is= x-8+2 / x-1

= x-6 / x-1

This will not be solved further, or you have missed out something from the question. As I searched it out I think it is given that the no. obtained is 1/2.

So it gets solved further,

x-6 / x-1 = 1 / 2

Cross multiply it.

You get => 2(x-6) = x-1

= 2x- 12 = x-1

= 2x-x = 12-1

= x = 11

The numerator is x-8 = 11-8 = 3

The denominator is x that is 11.

So the no. is = 3/ 11.

Hope this helps...