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Verify -2/5+[3/5+1/2]=[-2/5+3/5]+1/2​

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question:

VERIFY -2/5+[3/5+1/2]=[-2/5+3/5]+1/2

answer:

LHS =

\frac{ - 2}{5}  + { \frac{3}{5}  +  \frac{1}{2} } =  \frac{6 + 5}{10}  +  \frac{ - 2}{5}  =  \frac{11 - 4}{10}  =  \frac{7}{10}

RHS =

\frac{ - 2}{5}  +  \frac{3}{5}  +  \frac{1}{2}  =   \frac{ 1}{5}  +  \frac{1}{2}  =  \frac{5 + 2}{10}  =  \frac{7}{10}

hence LHS=RHS

hence PROVED .

hope it HELPS you ☺️



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