Question

Simplify the following.

$10+\left\{26-15\times \left(20-5÷2\times \overline{7-5}\right)\right\}$

Answer 1

Simplifying the expression

$$\begin{gathered} 10+\left\{26-15\times \left(20-5÷2\times \overline{7-5}\right)\right\}=10+\left\{26-15\times \left(20-5÷2\times 2\right)\right\} \\ =10+\left\{26-15\times \left(20-\frac{5}{2}\times 2\right)\right\} \\ =10+\left\{26-15\times \left(20-5\right)\right\} \\ =10+\left\{26-15\times 15\right\} \\ =10+\left\{26-225\right\} \\ =10+\left(-199\right) \\ =-189 \end{gathered}$$

Hence, $10+\left\{26-15\times \left(20-5÷2\times \overline{7-5}\right)\right\}=$$-189$