Evaluate (8(4+3)+2(7-5))/(5(7-3)-2^4)

$\frac{8 (4 + 3) + 2 (7 - 5)}{5 (7 - 3) - 2^{4}}$

Step 1

Simplify the numerator.

Add $4$ and $3$ .

$\frac{8 \cdot 7 + 2 (7 - 5)}{5 (7 - 3) - 2^{4}}$

Multiply $8$ by $7$ .

$\frac{56 + 2 (7 - 5)}{5 (7 - 3) - 2^{4}}$

Subtract $5$ from $7$ .

$\frac{56 + 2 \cdot 2}{5 (7 - 3) - 2^{4}}$

Multiply $2$ by $2$ .

$\frac{56 + 4}{5 (7 - 3) - 2^{4}}$

Add $56$ and $4$ .

$\frac{60}{5 (7 - 3) - 2^{4}}$

$\frac{60}{5 (7 - 3) - 2^{4}}$

Step 2

Simplify the denominator.

Subtract $3$ from $7$ .

$\frac{60}{5 \cdot 4 - 2^{4}}$

Multiply $5$ by $4$ .

$\frac{60}{20 - 2^{4}}$

Raise $2$ to the power of $4$ .

$\frac{60}{20 - 1 \cdot 16}$

Multiply $- 1$ by $16$ .

$\frac{60}{20 - 16}$

Subtract $16$ from $20$ .

$\frac{60}{4}$

$\frac{60}{4}$

Step 3

Divide $60$ by $4$ .

$15$

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