Algebra Examples

$10 - 4 \div 2 + 3 \cdot 4 - 1$

Step 1

Find the common denominator.

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Step 1.1

Write $10$ as a fraction with denominator $1$ .

$\frac{10}{1} - 4 \div 2 + 3 \cdot 4 - 1$

Step 1.2

Multiply $\frac{10}{1}$ by $\frac{2}{2}$ .

$\frac{10}{1} \cdot \frac{2}{2} - 4 \div 2 + 3 \cdot 4 - 1$

Step 1.3

Multiply $\frac{10}{1}$ by $\frac{2}{2}$ .

$\frac{10 \cdot 2}{2} - 4 \div 2 + 3 \cdot 4 - 1$

Step 1.4

Write $3 \cdot 4$ as a fraction with denominator $1$ .

$\frac{10 \cdot 2}{2} - 4 \div 2 + \frac{3 \cdot 4}{1} - 1$

Step 1.5

Multiply $\frac{3 \cdot 4}{1}$ by $\frac{2}{2}$ .

$\frac{10 \cdot 2}{2} - 4 \div 2 + \frac{3 \cdot 4}{1} \cdot \frac{2}{2} - 1$

Step 1.6

Multiply $\frac{3 \cdot 4}{1}$ by $\frac{2}{2}$ .

$\frac{10 \cdot 2}{2} - 4 \div 2 + \frac{3 \cdot 4 \cdot 2}{2} - 1$

Step 1.7

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

$\frac{10 \cdot 2}{2} - 4 \div 2 + \frac{3 \cdot 4 \cdot 2}{2} + \frac{- 1}{1}$

Step 1.8

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

$\frac{10 \cdot 2}{2} - 4 \div 2 + \frac{3 \cdot 4 \cdot 2}{2} + \frac{- 1}{1} \cdot \frac{2}{2}$

Step 1.9

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

$\frac{10 \cdot 2}{2} - 4 \div 2 + \frac{3 \cdot 4 \cdot 2}{2} + \frac{- 1 \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{10 \cdot 2 - 4 + 3 \cdot 4 \cdot 2 - 1 \cdot 2}{2}$

Step 3

Simplify each term.

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Step 3.1

Multiply $10$ by $2$ .

$\frac{20 - 4 + 3 \cdot 4 \cdot 2 - 1 \cdot 2}{2}$

Step 3.2

Multiply $3 \cdot 4 \cdot 2$ .

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Step 3.2.1

Multiply $3$ by $4$ .

$\frac{20 - 4 + 12 \cdot 2 - 1 \cdot 2}{2}$

Step 3.2.2

Multiply $12$ by $2$ .

$\frac{20 - 4 + 24 - 1 \cdot 2}{2}$

Step 3.3

Multiply $- 1$ by $2$ .

$\frac{20 - 4 + 24 - 2}{2}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $4$ from $20$ .

$\frac{16 + 24 - 2}{2}$

Step 4.2

Add $16$ and $24$ .

$\frac{40 - 2}{2}$

Step 4.3

Subtract $2$ from $40$ .

$\frac{38}{2}$

Step 4.4

Divide $38$ by $2$ .

$19$