Basic Math Examples

$\frac{2}{16} \div \frac{3}{8} \cdot \frac{2}{9}$

Step 1

Cancel the common factor of $2$ and $16$ .

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Step 1.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{16} \div \frac{3}{8} \cdot \frac{2}{9}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $16$ .

$\frac{2 \cdot 1}{2 \cdot 8} \div \frac{3}{8} \cdot \frac{2}{9}$

Step 1.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 8} \div \frac{3}{8} \cdot \frac{2}{9}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{8} \div \frac{3}{8} \cdot \frac{2}{9}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{8} \cdot \frac{8}{3} \cdot \frac{2}{9}$

Step 3

Cancel the common factor of $8$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{8} \cdot \frac{8}{3} \cdot \frac{2}{9}$

Step 3.2

Rewrite the expression.

$\frac{1}{3} \cdot \frac{2}{9}$

Step 4

Multiply $\frac{1}{3} \cdot \frac{2}{9}$ .

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Step 4.1

Multiply $\frac{1}{3}$ by $\frac{2}{9}$ .

$\frac{2}{3 \cdot 9}$

Step 4.2

Multiply $3$ by $9$ .

$\frac{2}{27}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{27}$

Decimal Form:

$0.\overline{074}$