Question

Verify
-2/5+[3/5+1/2]=[-2/5 +3/5] +1/2​

Answer 1

Answer:

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Answer 2

It is verified that $-\frac{2}{5} +[\frac{3}{5} +\frac{1}{2} ]= [-\frac{2}{5} +\frac{3}{5} ]+\frac{1}{2}$.

Step-by-step explanation:

Given:

$-\frac{2}{5} +[\frac{3}{5} +\frac{1}{2} ]= [-\frac{2}{5} +\frac{3}{5} ]+\frac{1}{2}$

To Find:

It is to be verified that $-\frac{2}{5} +[\frac{3}{5} +\frac{1}{2} ]= [-\frac{2}{5} +\frac{3}{5} ]+\frac{1}{2}$

Solution:

As given- $-\frac{2}{5} +[\frac{3}{5} +\frac{1}{2} ]= [-\frac{2}{5} +\frac{3}{5} ]+\frac{1}{2}$

$LHS=-\frac{2}{5} +[\frac{3}{5} +\frac{1}{2} ]$

         $=-\frac{2}{5} +[\frac{6+5 }{10} ]$

         $=-\frac{2}{5} +\frac{11 }{10}$

          $=\frac{-4+11 }{10}$

          $=\frac{7}{10}$

$RHS= [-\frac{2}{5} +\frac{3}{5} ]+\frac{1}{2}$

         $= [\frac{-2+3}{5} ]+\frac{1}{2}$

         $= \frac{1}{5} +\frac{1}{2}$

        $= \frac{2+5}{10}$

       $=\frac{7}{10}$

$LHS=RHS$

Hence, it is verified that $-\frac{2}{5} +[\frac{3}{5} +\frac{1}{2} ]= [-\frac{2}{5} +\frac{3}{5} ]+\frac{1}{2}$.

PROJECT CODE #SPJ2