Basic Math Examples

$12 \cdot 6 \div 8 + 20 + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Step 1

Multiply $12$ by $6$ .

$72 \div 8 + 20 + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Write $20$ as a fraction with denominator $1$ .

$72 \div 8 + \frac{20}{1} + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Step 2.2

Multiply $\frac{20}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20}{1} \cdot \frac{8}{8} + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Step 2.3

Multiply $\frac{20}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Step 2.4

Write $5 \cdot 3$ as a fraction with denominator $1$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3}{1} - 9 \cdot 2 \cdot 6$

Step 2.5

Multiply $\frac{5 \cdot 3}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3}{1} \cdot \frac{8}{8} - 9 \cdot 2 \cdot 6$

Step 2.6

Multiply $\frac{5 \cdot 3}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} - 9 \cdot 2 \cdot 6$

Step 2.7

Write $- 9 \cdot 2 \cdot 6$ as a fraction with denominator $1$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} + \frac{- 9 \cdot 2 \cdot 6}{1}$

Step 2.8

Multiply $\frac{- 9 \cdot 2 \cdot 6}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} + \frac{- 9 \cdot 2 \cdot 6}{1} \cdot \frac{8}{8}$

Step 2.9

Multiply $\frac{- 9 \cdot 2 \cdot 6}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} + \frac{- 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{72 + 20 \cdot 8 + 5 \cdot 3 \cdot 8 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Multiply $20$ by $8$ .

$\frac{72 + 160 + 5 \cdot 3 \cdot 8 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Step 4.2

Multiply $5 \cdot 3 \cdot 8$ .

Tap for more steps...

Step 4.2.1

Multiply $5$ by $3$ .

$\frac{72 + 160 + 15 \cdot 8 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Step 4.2.2

Multiply $15$ by $8$ .

$\frac{72 + 160 + 120 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Step 4.3

Multiply $- 9 \cdot 2 \cdot 6 \cdot 8$ .

Tap for more steps...

Step 4.3.1

Multiply $- 9$ by $2$ .

$\frac{72 + 160 + 120 - 18 \cdot 6 \cdot 8}{8}$

Step 4.3.2

Multiply $- 18$ by $6$ .

$\frac{72 + 160 + 120 - 108 \cdot 8}{8}$

Step 4.3.3

Multiply $- 108$ by $8$ .

$\frac{72 + 160 + 120 - 864}{8}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Add $72$ and $160$ .

$\frac{232 + 120 - 864}{8}$

Step 5.2

Add $232$ and $120$ .

$\frac{352 - 864}{8}$

Step 5.3

Subtract $864$ from $352$ .

$\frac{- 512}{8}$

Step 5.4

Divide $- 512$ by $8$ .

$- 64$