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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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