Basic Math Examples

$\frac{13}{30} + \frac{1}{5} \div \frac{6}{7}$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$\frac{13}{30} + \frac{1}{5} \cdot \frac{7}{6}$

Step 1.2

Multiply $\frac{1}{5} \cdot \frac{7}{6}$ .

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Step 1.2.1

Multiply $\frac{1}{5}$ by $\frac{7}{6}$ .

$\frac{13}{30} + \frac{7}{5 \cdot 6}$

Step 1.2.2

Multiply $5$ by $6$ .

$\frac{13}{30} + \frac{7}{30}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{13 + 7}{30}$

Step 2.2

Add $13$ and $7$ .

$\frac{20}{30}$

Step 2.3

Cancel the common factor of $20$ and $30$ .

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Step 2.3.1

Factor $10$ out of $20$ .

$\frac{10 (2)}{30}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $10$ out of $30$ .

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

Step 2.3.2.2

Cancel the common factor.

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

Step 2.3.2.3

Rewrite the expression.

$\frac{2}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$