Question

The sum of two rational numbers is −3/5 . If one of them is −9/20, find the other.

Answer 1

`-(3)/(20)`

Explanation:

GIVEN :-

• One of the two rational numbers =
  `-(9)/(20)`

TO FIND :-

• Sum of two rational numbers =
  `-(3)/(5)`

SOLUTION :-

Let the another rational number be 'x'.

According to the question , the equation formed will look like this :-

`x + (-(9)/(20) ) = -(3)/(5)`

`=> x - (9)/(20) = -(3)/(5)`

Now solve the equation.

• Add
  `(9)/(20)` to both the sides of equation in order to isolate 'x'.

`=> x - (9)/(20) + (9)/(20) = -(3)/(5) + (9)/(20)`

`=> x = (9)/(20) - (3)/(5) = (9 - (3 * 4))/(20) = (9 - 12)/(20) = (-3)/(20)`

Answer 2

-3/20

Explanation:

Let other number = x

∴ -9/20 + x = -3/5

∴ x = -3/5 + 9/20

∴ x = -3/20

Hope this helps :) !!!!