The sum of two numbers is $\frac{5}{9}$. If one of the numbers is $\frac{1}{3}$, find the other.

Given:

The sum of two numbers is $\frac{5}{9}$.

One of the numbers is $\frac{1}{3}$.

To do:

We have to find the other number.

Solution:

Let the other number be $x$.

This implies,

$\frac{1}{3}+x=\frac{5}{9}$

$x=\frac{5}{9}-\frac{1}{3}$

$x=\frac{5\times1-1\times3}{9}$             (LCM of 9 and 3 is 9)

$x=\frac{5-3}{9}$

$x=\frac{2}{9}$

Therefore, the other number is $\frac{2}{9}$.

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Updated on: 10-Oct-2022

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