Question

Simplify the following.

$22-\left[\left\{5+17÷\left(7\times 2+\overline{5-3}of6\right)\right\}\times 7\right]$

Answer 1

Simplifying the expression

$22-\left[\left\{5+17÷\left(7\times 2+\overline{5-3}of6\right)\right\}\times 7\right]=22-\left[\left\{5+17÷\left(7\times 2+2of6\right)\right\}\times 7\right]$

$$\begin{gathered} =22-\left[\left\{5+17÷\left(7\times 2+2\times 6\right)\right\}\times 7\right] \\ =22-\left[\left\{5+17÷\left(7\times 2+12\right)\right\}\times 7\right] \\ =22-\left[\left\{5+17÷\left(14+12\right)\right\}\times 7\right] \\ =22-\left[\left\{5+17÷26\right\}\times 7\right] \\ =22-\left[\left\{5+\frac{17}{26}\right\}\times 7\right] \\ =22-\left[\left\{\frac{5\times 26+17}{26}\right\}\times 7\right] \\ =22-\left[\left\{\frac{130+17}{26}\right\}\times 7\right] \\ =22-\left[\left\{\frac{147}{26}\right\}\times 7\right] \\ =22-\frac{147\times 7}{26} \\ =\frac{22\times 26-1029}{26} \\ =\frac{572-1029}{26} \\ =\frac{-457}{26} \end{gathered}$$

Hence, the simplified answer is $\frac{-457}{26}.$