Basic Math Examples

$\frac{140}{360} \cdot 2 \cdot \frac{22}{7} \cdot 6 + 2 \cdot 6$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.1.1

Factor $2$ out of $360$ .

$\frac{140}{2 (180)} \cdot 2 \cdot \frac{22}{7} \cdot 6 + 2 \cdot 6$

Step 1.1.2

Cancel the common factor.

$\frac{140}{2 \cdot 180} \cdot 2 \cdot \frac{22}{7} \cdot 6 + 2 \cdot 6$

Step 1.1.3

Rewrite the expression.

$\frac{140}{180} \cdot \frac{22}{7} \cdot 6 + 2 \cdot 6$

Step 1.2

Cancel the common factor of $7$ .

Tap for more steps...

Step 1.2.1

Factor $7$ out of $140$ .

$\frac{7 (20)}{180} \cdot \frac{22}{7} \cdot 6 + 2 \cdot 6$

Step 1.2.2

Cancel the common factor.

$\frac{7 \cdot 20}{180} \cdot \frac{22}{7} \cdot 6 + 2 \cdot 6$

Step 1.2.3

Rewrite the expression.

$\frac{20}{180} \cdot 22 \cdot 6 + 2 \cdot 6$

Step 1.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.3.1

Factor $2$ out of $180$ .

$\frac{20}{2 (90)} \cdot 22 \cdot 6 + 2 \cdot 6$

Step 1.3.2

Factor $2$ out of $22$ .

$\frac{20}{2 \cdot 90} \cdot (2 \cdot 11) \cdot 6 + 2 \cdot 6$

Step 1.3.3

Cancel the common factor.

$\frac{20}{2 \cdot 90} \cdot (2 \cdot 11) \cdot 6 + 2 \cdot 6$

Step 1.3.4

Rewrite the expression.

$\frac{20}{90} \cdot 11 \cdot 6 + 2 \cdot 6$

Step 1.4

Combine $\frac{20}{90}$ and $11$ .

$\frac{20 \cdot 11}{90} \cdot 6 + 2 \cdot 6$

Step 1.5

Multiply $20$ by $11$ .

$\frac{220}{90} \cdot 6 + 2 \cdot 6$

Step 1.6

Cancel the common factor of $6$ .

Tap for more steps...

Step 1.6.1

Factor $6$ out of $90$ .

$\frac{220}{6 (15)} \cdot 6 + 2 \cdot 6$

Step 1.6.2

Cancel the common factor.

$\frac{220}{6 \cdot 15} \cdot 6 + 2 \cdot 6$

Step 1.6.3

Rewrite the expression.

$\frac{220}{15} + 2 \cdot 6$

Step 1.7

Cancel the common factor of $220$ and $15$ .

Tap for more steps...

Step 1.7.1

Factor $5$ out of $220$ .

$\frac{5 (44)}{15} + 2 \cdot 6$

Step 1.7.2

Cancel the common factors.

Tap for more steps...

Step 1.7.2.1

Factor $5$ out of $15$ .

$\frac{5 \cdot 44}{5 \cdot 3} + 2 \cdot 6$

Step 1.7.2.2

Cancel the common factor.

$\frac{5 \cdot 44}{5 \cdot 3} + 2 \cdot 6$

Step 1.7.2.3

Rewrite the expression.

$\frac{44}{3} + 2 \cdot 6$

Step 1.8

Multiply $2$ by $6$ .

$\frac{44}{3} + 12$

Step 2

To write $12$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{44}{3} + 12 \cdot \frac{3}{3}$

Step 3

Combine $12$ and $\frac{3}{3}$ .

$\frac{44}{3} + \frac{12 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{44 + 12 \cdot 3}{3}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $12$ by $3$ .

$\frac{44 + 36}{3}$

Step 5.2

Add $44$ and $36$ .

$\frac{80}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{80}{3}$

Decimal Form:

$26.\overline{6}$

Mixed Number Form:

$26 \frac{2}{3}$