A) \[\frac{-56}{63}\]
B) \[\frac{-86}{63}\]
C) \[\frac{86}{63}\]
D) \[\frac{56}{63}\]
Correct Answer: B
Solution :
\[\frac{4}{7}+0+\frac{-8}{9}+\frac{-13}{7}+\frac{17}{21}\] \[=\left( \frac{4}{7}+0 \right)+\frac{-8}{9}+\frac{-13}{7}+\frac{17}{21}\] L.C.Mof7, 9 and \[21=7\times 3\times 3=63\] \[=\frac{4}{7}+\frac{-8}{9}+\frac{-13}{7}+\frac{17}{21}\] \[=\left( \frac{4}{7}+\frac{-13}{7} \right)+\frac{-8}{9}+\frac{17}{21}\] \[=\frac{-9}{7}+\frac{-8}{9}+\frac{17}{21}\] \[=\frac{-9\times 9+(-8)\times 7+17\times 3}{63}\] \[=\frac{-81-56+51}{63}\] \[\frac{-137+51}{63}=\frac{-86}{63}\]
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