Evaluate 7^2-46+17÷2

$7^{2} - 46 + 17 \div 2$

Find the common denominator.

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

$\frac{7^{2}}{1} - 46 + 17 \div 2$

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

$\frac{7^{2}}{1} \cdot \frac{2}{2} - 46 + 17 \div 2$

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

$\frac{7^{2} \cdot 2}{2} - 46 + 17 \div 2$

Write $- 46$ as a fraction with denominator $1$ .

$\frac{7^{2} \cdot 2}{2} + \frac{- 46}{1} + 17 \div 2$

Multiply $\frac{- 46}{1}$ by $\frac{2}{2}$ .

$\frac{7^{2} \cdot 2}{2} + \frac{- 46}{1} \cdot \frac{2}{2} + 17 \div 2$

Multiply $\frac{- 46}{1}$ by $\frac{2}{2}$ .

$\frac{7^{2} \cdot 2}{2} + \frac{- 46 \cdot 2}{2} + 17 \div 2$

Combine the numerators over the common denominator.

$\frac{7^{2} \cdot 2 - 46 \cdot 2 + 17}{2}$

Simplify each term.

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

$\frac{49 \cdot 2 - 46 \cdot 2 + 17}{2}$

Multiply $49$ by $2$ .

$\frac{98 - 46 \cdot 2 + 17}{2}$

Multiply $- 46$ by $2$ .

$\frac{98 - 92 + 17}{2}$

Simplify by adding and subtracting.

Subtract $92$ from $98$ .

$\frac{6 + 17}{2}$

Add $6$ and $17$ .

$\frac{23}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{2}$

Decimal Form:

$11.5$

Mixed Number Form:

$11 \frac{1}{2}$