Basic Math Examples

$\frac{2 (\frac{13}{3}) + 10}{14}$

Step 1

Cancel the common factor of $2 (\frac{13}{3}) + 10$ and $14$ .

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Step 1.1

Factor $2$ out of $10$ .

$\frac{2 (\frac{13}{3}) + 2 \cdot 5}{14}$

Step 1.2

Factor $2$ out of $2 (\frac{13}{3}) + 2 \cdot 5$ .

$\frac{2 (\frac{13}{3} + 5)}{14}$

Step 1.3

Cancel the common factors.

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Step 1.3.1

Factor $2$ out of $14$ .

$\frac{2 (\frac{13}{3} + 5)}{2 (7)}$

Step 1.3.2

Cancel the common factor.

$\frac{2 (\frac{13}{3} + 5)}{2 \cdot 7}$

Step 1.3.3

Rewrite the expression.

$\frac{\frac{13}{3} + 5}{7}$

Step 2

Simplify the numerator.

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Step 2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{13}{3} + 5 \cdot \frac{3}{3}}{7}$

Step 2.2

Combine $5$ and $\frac{3}{3}$ .

$\frac{\frac{13}{3} + \frac{5 \cdot 3}{3}}{7}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{\frac{13 + 5 \cdot 3}{3}}{7}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $5$ by $3$ .

$\frac{\frac{13 + 15}{3}}{7}$

Step 2.4.2

Add $13$ and $15$ .

$\frac{\frac{28}{3}}{7}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{28}{3} \cdot \frac{1}{7}$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Factor $7$ out of $28$ .

$\frac{7 (4)}{3} \cdot \frac{1}{7}$

Step 4.2

Cancel the common factor.

$\frac{7 \cdot 4}{3} \cdot \frac{1}{7}$

Step 4.3

Rewrite the expression.

$\frac{4}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$