Algebra Examples

$6 \div 3 + 32 \cdot 4 - 2$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Write $32 \cdot 4$ as a fraction with denominator $1$ .

$6 \div 3 + \frac{32 \cdot 4}{1} - 2$

Step 1.2

Multiply $\frac{32 \cdot 4}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{32 \cdot 4}{1} \cdot \frac{3}{3} - 2$

Step 1.3

Multiply $\frac{32 \cdot 4}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{32 \cdot 4 \cdot 3}{3} - 2$

Step 1.4

Write $- 2$ as a fraction with denominator $1$ .

$6 \div 3 + \frac{32 \cdot 4 \cdot 3}{3} + \frac{- 2}{1}$

Step 1.5

Multiply $\frac{- 2}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{32 \cdot 4 \cdot 3}{3} + \frac{- 2}{1} \cdot \frac{3}{3}$

Step 1.6

Multiply $\frac{- 2}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{32 \cdot 4 \cdot 3}{3} + \frac{- 2 \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{6 + 32 \cdot 4 \cdot 3 - 2 \cdot 3}{3}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Multiply $32 \cdot 4 \cdot 3$ .

Tap for more steps...

Step 3.1.1

Multiply $32$ by $4$ .

$\frac{6 + 128 \cdot 3 - 2 \cdot 3}{3}$

Step 3.1.2

Multiply $128$ by $3$ .

$\frac{6 + 384 - 2 \cdot 3}{3}$

Step 3.2

Multiply $- 2$ by $3$ .

$\frac{6 + 384 - 6}{3}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Add $6$ and $384$ .

$\frac{390 - 6}{3}$

Step 4.2

Subtract $6$ from $390$ .

$\frac{384}{3}$

Step 4.3

Divide $384$ by $3$ .

$128$