Pre-Algebra Examples

$20 \div 4 - 4 + 3 \cdot 4$

Step 1

Find the common denominator.

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Step 1.1

Write $- 4$ as a fraction with denominator $1$ .

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

Step 1.2

Multiply $\frac{- 4}{1}$ by $\frac{4}{4}$ .

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

Step 1.3

Multiply $\frac{- 4}{1}$ by $\frac{4}{4}$ .

$20 \div 4 + \frac{- 4 \cdot 4}{4} + 3 \cdot 4$

Step 1.4

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

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

Step 1.5

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

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

Step 1.6

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

$20 \div 4 + \frac{- 4 \cdot 4}{4} + \frac{3 \cdot 4 \cdot 4}{4}$

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

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Step 3.1

Multiply $- 4$ by $4$ .

$\frac{20 - 16 + 3 \cdot 4 \cdot 4}{4}$

Step 3.2

Multiply $3 \cdot 4 \cdot 4$ .

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Step 3.2.1

Multiply $3$ by $4$ .

$\frac{20 - 16 + 12 \cdot 4}{4}$

Step 3.2.2

Multiply $12$ by $4$ .

$\frac{20 - 16 + 48}{4}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $16$ from $20$ .

$\frac{4 + 48}{4}$

Step 4.2

Add $4$ and $48$ .

$\frac{52}{4}$

Step 4.3

Divide $52$ by $4$ .

$13$