Evaluate 12+(2-(4*5^2))÷7+1

$12 + (2 - (4 \cdot 5^{2})) \div 7 + 1$

Find the common denominator.

Write $12$ as a fraction with denominator $1$ .

$\frac{12}{1} + (2 - (4 \cdot 5^{2})) \div 7 + 1$

Multiply $\frac{12}{1}$ by $\frac{7}{7}$ .

$\frac{12}{1} \cdot \frac{7}{7} + (2 - (4 \cdot 5^{2})) \div 7 + 1$

Multiply $\frac{12}{1}$ by $\frac{7}{7}$ .

$\frac{12 \cdot 7}{7} + (2 - (4 \cdot 5^{2})) \div 7 + 1$

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

$\frac{12 \cdot 7}{7} + (2 - (4 \cdot 5^{2})) \div 7 + \frac{1}{1}$

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

$\frac{12 \cdot 7}{7} + (2 - (4 \cdot 5^{2})) \div 7 + \frac{1}{1} \cdot \frac{7}{7}$

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

$\frac{12 \cdot 7}{7} + (2 - (4 \cdot 5^{2})) \div 7 + \frac{7}{7}$

Combine the numerators over the common denominator.

$\frac{12 \cdot 7 + 2 - (4 \cdot 5^{2}) + 7}{7}$

Simplify each term.

Multiply $12$ by $7$ .

$\frac{84 + 2 - (4 \cdot 5^{2}) + 7}{7}$

Raise $5$ to the power of $2$ .

$\frac{84 + 2 - (4 \cdot 25) + 7}{7}$

Multiply $4$ by $25$ .

$\frac{84 + 2 - 1 \cdot 100 + 7}{7}$

Multiply $- 1$ by $100$ .

$\frac{84 + 2 - 100 + 7}{7}$

Simplify the expression.

Add $84$ and $2$ .

$\frac{86 - 100 + 7}{7}$

Subtract $100$ from $86$ .

$\frac{- 14 + 7}{7}$

Add $- 14$ and $7$ .

$\frac{- 7}{7}$

Divide $- 7$ by $7$ .

$- 1$