Basic Math Examples

$\frac{3}{7} \cdot \frac{1}{2} + \frac{9}{17} \div \frac{14}{17}$

Step 1

Simplify each term.

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Step 1.1

Multiply $\frac{3}{7} \cdot \frac{1}{2}$ .

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Step 1.1.1

Multiply $\frac{3}{7}$ by $\frac{1}{2}$ .

$\frac{3}{7 \cdot 2} + \frac{9}{17} \div \frac{14}{17}$

Step 1.1.2

Multiply $7$ by $2$ .

$\frac{3}{14} + \frac{9}{17} \div \frac{14}{17}$

Step 1.2

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{14} + \frac{9}{17} \cdot \frac{17}{14}$

Step 1.3

Cancel the common factor of $17$ .

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Step 1.3.1

Cancel the common factor.

$\frac{3}{14} + \frac{9}{17} \cdot \frac{17}{14}$

Step 1.3.2

Rewrite the expression.

$\frac{3}{14} + 9 (\frac{1}{14})$

Step 1.4

Combine $9$ and $\frac{1}{14}$ .

$\frac{3}{14} + \frac{9}{14}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{3 + 9}{14}$

Step 2.2

Add $3$ and $9$ .

$\frac{12}{14}$

Step 2.3

Cancel the common factor of $12$ and $14$ .

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Step 2.3.1

Factor $2$ out of $12$ .

$\frac{2 (6)}{14}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $14$ .

$\frac{2 \cdot 6}{2 \cdot 7}$

Step 2.3.2.2

Cancel the common factor.

$\frac{2 \cdot 6}{2 \cdot 7}$

Step 2.3.2.3

Rewrite the expression.

$\frac{6}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$