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Solve the following. [(1+4−4214+65)+{(2+7×9)13}×[(65+7−19)]+(19−39×5)369]\left[\frac{(1+4-\frac{42}{14}+65)+\{\frac{(2+7×9)}{13}\}×[(65+7-19)]+(19-3
Question

Solve the following.
[(1+44214+65)+{(2+7×9)13}×[(65+719)]+(1939×5)369]\left[\frac{(1+4-\frac{42}{14}+65)+\{\frac{(2+7×9)}{13}\}×[(65+7-19)]+(19-39×5)}{369}\right]​=?

A.

52123\frac{52}{123}​​

B.

224

C.

–24

D.

25369\frac{–25}{369}​​

Correct option is A

Solution:

[(1+44214+65)+{(2+7×9)13}×[(65+719)]+(1939×5)369] =[(67)+{5}×[(53)]+(176)369] =[(67)+{5}×[(53)]+(176)369] =156369 =52123\left[\frac{(1+4-\frac{42}{14}+65)+\{\frac{(2+7×9)}{13}\}×[(65+7-19)]+(19-39×5)}{369}\right] \\ \ \\ = \left[\frac{(67)+\{5\}×[(53)]+(-176)}{369}\right]\\ \ \\ = \left[\frac{(67)+\{5\}×[(53)]+(-176)}{369}\right] \\ \ \\ = \frac{156}{369} \\ \ \\ = \frac{52}{123}​​

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