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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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