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The value of 17+57+214+47−2=\frac{1}{7}+\frac{5}{7}+\frac{2}{14}+\frac{4}{7}-2=71​+75​+142​+74​−2= 
Question

The value of 17+57+214+472=\frac{1}{7}+\frac{5}{7}+\frac{2}{14}+\frac{4}{7}-2= 

A.

314-\frac{3}{14}​​

B.

614-\frac{6}{14}​​

C.

514-\frac{5}{14}​​

D.

814-\frac{8}{14}​​

Correct option is B

Given: 

17+57+214+472\frac{1}{7}+\frac{5}{7}+\frac{2}{14}+\frac{4}{7}-2 

Solution: 

17+57+214+472 =107+2142 =20+22814 =614\frac{1}{7}+\frac{5}{7}+\frac{2}{14}+\frac{4}{7}-2 \\ \ \\ = \frac{10}{7} +\frac{2}{14} -2 \\ \ \\ =\frac{20 + 2 - 28}{14} \\ \ \\ = \frac{-6}{14}​​

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