Question

Simplify the following.

$\left\{\left(15+2÷7\right)+6\right\}-5\times 7$

Answer 1

Simplifying the equation

$$\begin{gathered} \left\{\left(15+2÷7\right)+6\right\}-5\times 7=\left\{\left(15+\frac{2}{7}\right)+6\right\}-5\times 7 \\ =\left\{\left(\frac{15\times 7+2}{7}\right)+6\right\}-5\times 7 \\ =\left\{\left(\frac{105+2}{7}\right)+6\right\}-5\times 7 \\ =\left\{\frac{107+6\times 7}{7}\right\}-5\times 7 \\ =\left\{\frac{107+42}{7}\right\}-35 \\ =\frac{149}{7}-35 \\ =\frac{149-35\times 7}{7} \\ =\frac{149-245}{7}\Rightarrow \frac{-96}{7} \end{gathered}$$

Hence, the simplified answer is $\frac{-96}{7}.$