Evaluate (8(4)-2*-7)/(10(4)(-7))

$\frac{8 (4) - 2 \cdot - 7}{10 (4) (- 7)}$

Cancel the common factor of $8 (4) - 2 \cdot - 7$ and $10$ .

Factor $2$ out of $8 (4)$ .

$\frac{2 (4 \cdot 4) - 2 \cdot - 7}{10 (4) (- 7)}$

Factor $2$ out of $- 2 \cdot - 7$ .

$\frac{2 (4 \cdot 4) + 2 (- - 7)}{10 (4) (- 7)}$

Factor $2$ out of $2 (4 \cdot 4) + 2 (- - 7)$ .

$\frac{2 (4 \cdot 4 - - 7)}{10 (4) (- 7)}$

Cancel the common factors.

Factor $2$ out of $10 (4) (- 7)$ .

$\frac{2 (4 \cdot 4 - - 7)}{2 (5 \cdot 4 \cdot - 7)}$

Cancel the common factor.

$\frac{2 (4 \cdot 4 - - 7)}{2 (5 \cdot 4 \cdot - 7)}$

Rewrite the expression.

$\frac{4 \cdot 4 - - 7}{5 \cdot 4 \cdot - 7}$

Simplify the numerator.

Multiply $4$ by $4$ .

$\frac{16 - - 7}{5 \cdot 4 \cdot - 7}$

Multiply $- 1$ by $- 7$ .

$\frac{16 + 7}{5 \cdot 4 \cdot - 7}$

Add $16$ and $7$ .

$\frac{23}{5 \cdot 4 \cdot - 7}$

Simplify the denominator.

Multiply $5$ by $4$ .

$\frac{23}{20 \cdot - 7}$

Multiply $20$ by $- 7$ .

$\frac{23}{- 140}$

Move the negative in front of the fraction.

$- \frac{23}{140}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{23}{140}$

Decimal Form:

$- 0.16428571 \dots$