Basic Math Examples

$\frac{2}{3} \div \frac{3}{5} \div \frac{1}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{3} \div \frac{3}{5} \cdot 6$

Step 2

To divide by a fraction, multiply by its reciprocal.

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

Step 3

Multiply $\frac{2}{3} \cdot \frac{5}{3}$ .

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Step 3.1

Multiply $\frac{2}{3}$ by $\frac{5}{3}$ .

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

Step 3.2

Multiply $2$ by $5$ .

$\frac{10}{3 \cdot 3} \cdot 6$

Step 3.3

Multiply $3$ by $3$ .

$\frac{10}{9} \cdot 6$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $9$ .

$\frac{10}{3 (3)} \cdot 6$

Step 4.2

Factor $3$ out of $6$ .

$\frac{10}{3 \cdot 3} \cdot (3 \cdot 2)$

Step 4.3

Cancel the common factor.

$\frac{10}{3 \cdot 3} \cdot (3 \cdot 2)$

Step 4.4

Rewrite the expression.

$\frac{10}{3} \cdot 2$

Step 5

Combine $\frac{10}{3}$ and $2$ .

$\frac{10 \cdot 2}{3}$

Step 6

Multiply $10$ by $2$ .

$\frac{20}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{3}$

Decimal Form:

$6.\overline{6}$

Mixed Number Form:

$6 \frac{2}{3}$