Simplify (-16-8)/2+25÷5+1

$\frac{- 16 - 8}{2} + 25 \div 5 + 1$

Step 1

Subtract $8$ from $- 16$ .

$\frac{- 24}{2} + 25 \div 5 + 1$

Step 2

Find the common denominator.

Multiply $\frac{- 24}{2}$ by $\frac{5}{5}$ .

$\frac{- 24}{2} \cdot \frac{5}{5} + 25 \div 5 + 1$

Multiply $\frac{- 24}{2}$ by $\frac{5}{5}$ .

$\frac{- 24 \cdot 5}{2 \cdot 5} + 25 \div 5 + 1$

Multiply $25 \div 5$ by $\frac{2}{2}$ .

$\frac{- 24 \cdot 5}{2 \cdot 5} + 25 \div 5 \cdot \frac{2}{2} + 1$

Multiply $25 \div 5$ by $\frac{2}{2}$ .

$\frac{- 24 \cdot 5}{2 \cdot 5} + \frac{25 \cdot 2}{5 \cdot 2} + 1$

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

$\frac{- 24 \cdot 5}{2 \cdot 5} + \frac{25 \cdot 2}{5 \cdot 2} + \frac{1}{1}$

Multiply $\frac{1}{1}$ by $\frac{10}{10}$ .

$\frac{- 24 \cdot 5}{2 \cdot 5} + \frac{25 \cdot 2}{5 \cdot 2} + \frac{1}{1} \cdot \frac{10}{10}$

Multiply $\frac{1}{1}$ by $\frac{10}{10}$ .

$\frac{- 24 \cdot 5}{2 \cdot 5} + \frac{25 \cdot 2}{5 \cdot 2} + \frac{10}{10}$

Multiply $2$ by $5$ .

$\frac{- 24 \cdot 5}{10} + \frac{25 \cdot 2}{5 \cdot 2} + \frac{10}{10}$

Reorder the factors of $5 \cdot 2$ .

$\frac{- 24 \cdot 5}{10} + \frac{25 \cdot 2}{2 \cdot 5} + \frac{10}{10}$

Multiply $2$ by $5$ .

$\frac{- 24 \cdot 5}{10} + \frac{25 \cdot 2}{10} + \frac{10}{10}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 24 \cdot 5 + 25 \cdot 2 + 10}{10}$

Step 4

Simplify each term.

Multiply $- 24$ by $5$ .

$\frac{- 120 + 25 \cdot 2 + 10}{10}$

Multiply $25$ by $2$ .

$\frac{- 120 + 50 + 10}{10}$

Step 5

Simplify the expression.

Add $- 120$ and $50$ .

$\frac{- 70 + 10}{10}$

Add $- 70$ and $10$ .

$\frac{- 60}{10}$

Divide $- 60$ by $10$ .

$- 6$