What should be subtracted from $\frac{-2}{3}$ to obtain the nearest integer?

Given:

Given number is $\frac{-2}{3}$.

To do:

We have to find the number that has to be subtracted from $\frac{-2}{3}$ to obtain the nearest integer.

Solution:

$\frac{-2}{3}=-0.666....$

The nearest integer to $-0.666...$ is $-1$.

Let the number to be subtracted from $\frac{-2}{3}$ to obtain the nearest integer be $x$.

Therefore,

$\frac{-2}{3}-x=-1$

$x=1+\frac{-2}{3}$

$x=\frac{1\times3-2}{3}$

$x=\frac{3-2}{3}$

$x=\frac{1}{3}$
 The number that has to be subtracted from $\frac{-2}{3}$ to obtain the nearest integer is $\frac{1}{3}$.

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Updated on: 10-Oct-2022

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