Algebra Examples

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

Step 1

Subtract $8$ from $- 16$ .

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

Step 2

Find the common denominator.

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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

Step 2.4

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

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

Step 2.5

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

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

Step 2.6

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

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

Step 2.7

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

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

Step 2.8

Multiply $2$ by $5$ .

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

Step 2.9

Reorder the factors of $5 \cdot 2$ .

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

Step 2.10

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.

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Step 4.1

Multiply $- 24$ by $5$ .

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

Step 4.2

Multiply $25$ by $2$ .

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

Step 5

Simplify the expression.

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Step 5.1

Add $- 120$ and $50$ .

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

Step 5.2

Add $- 70$ and $10$ .

$\frac{- 60}{10}$

Step 5.3

Divide $- 60$ by $10$ .

$- 6$