Evaluate 8-8/2+7^2

$8 - \frac{8}{2} + 7^{2}$

Step 1

Find the common denominator.

Write $8$ as a fraction with denominator $1$ .

$\frac{8}{1} - \frac{8}{2} + 7^{2}$

Multiply $\frac{8}{1}$ by $\frac{2}{2}$ .

$\frac{8}{1} \cdot \frac{2}{2} - \frac{8}{2} + 7^{2}$

Multiply $\frac{8}{1}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2}{2} - \frac{8}{2} + 7^{2}$

Write $7^{2}$ as a fraction with denominator $1$ .

$\frac{8 \cdot 2}{2} - \frac{8}{2} + \frac{7^{2}}{1}$

Multiply $\frac{7^{2}}{1}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2}{2} - \frac{8}{2} + \frac{7^{2}}{1} \cdot \frac{2}{2}$

Multiply $\frac{7^{2}}{1}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2}{2} - \frac{8}{2} + \frac{7^{2} \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{8 \cdot 2 - 8 + 7^{2} \cdot 2}{2}$

Step 3

Simplify each term.

Multiply $8$ by $2$ .

$\frac{16 - 8 + 7^{2} \cdot 2}{2}$

Raise $7$ to the power of $2$ .

$\frac{16 - 8 + 49 \cdot 2}{2}$

Multiply $49$ by $2$ .

$\frac{16 - 8 + 98}{2}$

Step 4

Simplify the expression.

Subtract $8$ from $16$ .

$\frac{8 + 98}{2}$

Add $8$ and $98$ .

$\frac{106}{2}$

Divide $106$ by $2$ .

$53$