Basic Math Examples

$\frac{2}{5} \div 2 + \frac{7}{30}$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{\frac{2}{5}}{2} + \frac{7}{30}$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{5} \cdot \frac{1}{2} + \frac{7}{30}$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Cancel the common factor.

$\frac{2}{5} \cdot \frac{1}{2} + \frac{7}{30}$

Step 1.3.2

Rewrite the expression.

$\frac{1}{5} + \frac{7}{30}$

Step 2

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

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

Step 3

Write each expression with a common denominator of $30$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

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

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

Step 3.2

Multiply $5$ by $6$ .

$\frac{6}{30} + \frac{7}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{6 + 7}{30}$

Step 5

Add $6$ and $7$ .

$\frac{13}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{30}$

Decimal Form:

$0.4\overline{3}$