Question

The sum of two rational number is 5/18 if one of number is 1/8 find the other

Answer 1

Let the other number be a

According to question,

a + 1/8 = 5 / 18

=> a = 5/18 - 1 /8

=> a = ( 20 - 9) /72

=> a = 11 / 72

Other number = 11/ 72

Answer 2

Given: Sum of two rational numbers = $\frac{5}{18}$

           One of the numbers = $\frac{1}{8}$

To find: The other number

Let: The other number be $x$

Solution: According to the given question,

The sum of two rational number is 5/18 and one of number is 1/8.

Now, the other number is $x$ (assumed).

∵ $x + \frac{1}{8} = \frac{5}{18}$

⇒ $x = \frac{5}{18} \ - \ \frac{1}{8}$

⇒ $x = \frac{20 \ - \ 9}{72} = \frac{11}{72}$

Verification:

∵ $\frac{11}{72} \ + \ \frac{1}{8} = \frac{11 \ + \ 9}{72} = \frac{20}{72} = \frac{5}{18}$     (verified)

Hence, the other number is $\frac{11}{72}$