The value of 3 5/6 + [ 2/3 +{ 15/4 (5 4/5 ÷ 14 1/2 )}] is equal to:

The value of 3 5/6 + [ 2/3 +{ 15/4 (5 4/5 ÷ 14 1/2 )}] is…

The value of 3 $\frac{5}{6}$ + [ $\frac{2}{3}$ +{ $\frac{15}{4}$ (5 $\frac{4}{5}$ ÷ 14 $\frac{1}{2}$ )}] is equal to:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 6.

Calculations :

⇒ $\frac{23}{6} + [\frac{2}{3} + (\frac{15}{4}(\frac{29}{5}\times \frac{2}{29}))]$

⇒ $\frac{23}{6} + [\frac{2}{3} + (\frac{15}{4}\times \frac{2}{5})]$

⇒ $\frac{23}{6} + [\frac{2}{3} + \frac{3}{2}]$

⇒ $\frac{23}{6} + \frac{13}{6}$

⇒ 36/6 = 6