What number should be subtracted from $\frac{−5}{3}$ to get $\frac{5}{6}$?

Given :

The given numbers are $\frac{-5}{3}$ and $\frac{5}{6}$.

To do :

We have to find the number that should be subtracted from $\frac{-5}{3}$ to get $\frac{5}{6}$.

Solution :

Let the number to be subtracted from $\frac{-5}{3}$ to get $\frac{5}{6}$ be $x$.

This implies,

$\frac{-5}{3}-x=\frac{5}{6}$

$x =\frac{-5}{3} - \frac{5}{6}$

$x = \frac{[-5(2)-5(1)]}{6}$

$x = \frac{(-10-5)}{6}$

$x = \frac{-15}{6}$

$x=\frac{-5}{2}$

The number to be subtracted from $\frac{-5}{3}$ to get $\frac{5}{6}$ is $\frac{-5}{2}$.  

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Updated on: 10-Oct-2022

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