Question

Simplify the following.

$\left(35-5\right)÷\left[\left\{\overline{51+4}\mathrm{of}5+2\times \left(21-2+7\right)\right\}\times 22\right]$

Answer 1

Use the BODMAS rule.

By using the BODMAS rule, we get

$$\begin{gathered} \left(35-5\right)÷\left[\left\{(\overline{51+4}\mathrm{of}5+2)\times \left(21-2+7\right)\right\}\times 22\right]=\left(30\right)÷\left[\left\{(55\mathrm{of}5+2)\times \left(21-2+7\right)\right\}\times 22\right] \\ =\left(30\right)÷\left[\left\{(275+2)\times \left(28-2\right)\right\}\times 22\right] \\ =\left(30\right)÷\left[\left\{\left(277\right)\times 26\right\}\times 22\right] \\ =\left(30\right)÷\left[7202\times 22\right] \\ =\left(30\right)÷\left[158444\right] \\ =\frac{30}{158444} \\ =\frac{15}{79222} \end{gathered}$$

Hence, the required answer is $\frac{15}{79222}$.