Question

15/2[9/4÷{5/4-1/2(3/2-1/3-1/6)}]

Answer 1

this the answer if wrong then inform me

Answer 2

$Value \: of \: \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{3}{2} - \frac{1}{3} - \frac{1}{6}\Big)}]$

$= \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{9-2-1}{6} \Big)}]$

$= \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{6}{6} \Big)}]$

$= \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}}]$

$= \big(\frac{15}{2}\big) [\frac{9}{4}\div \frac{5-2}{4} ]$

$= \big(\frac{15}{2}\big) [\frac{9}{4}\div \frac{3}{4} ]$

$= \big(\frac{15}{2}\big) [\frac{9}{4}\times \frac{4}{3} ]$

$= \frac{15}{2} \times 3$

$= \frac{45}{2}$

Therefore.,

$Value \: of \: \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{3}{2} - \frac{1}{3} - \frac{1}{6}\Big)}]$

$\green{= \frac{45}{2}}$

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