Basic Math Examples

$\frac{- 3}{10} + (\frac{- 1}{6})$

Step 1

Remove parentheses.

$\frac{- 3}{10} + \frac{- 1}{6}$

Step 2

Simplify each term.

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Step 2.1

Move the negative in front of the fraction.

$- \frac{3}{10} + \frac{- 1}{6}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{3}{10} - \frac{1}{6}$

Step 3

To write $- \frac{3}{10}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{3}{10} \cdot \frac{3}{3} - \frac{1}{6}$

Step 4

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

$- \frac{3}{10} \cdot \frac{3}{3} - \frac{1}{6} \cdot \frac{5}{5}$

Step 5

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

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Step 5.1

Multiply $\frac{3}{10}$ by $\frac{3}{3}$ .

$- \frac{3 \cdot 3}{10 \cdot 3} - \frac{1}{6} \cdot \frac{5}{5}$

Step 5.2

Multiply $10$ by $3$ .

$- \frac{3 \cdot 3}{30} - \frac{1}{6} \cdot \frac{5}{5}$

Step 5.3

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

$- \frac{3 \cdot 3}{30} - \frac{5}{6 \cdot 5}$

Step 5.4

Multiply $6$ by $5$ .

$- \frac{3 \cdot 3}{30} - \frac{5}{30}$

Step 6

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 3 - 5}{30}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $- 3$ by $3$ .

$\frac{- 9 - 5}{30}$

Step 7.2

Subtract $5$ from $- 9$ .

$\frac{- 14}{30}$

Step 8

Cancel the common factor of $- 14$ and $30$ .

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Step 8.1

Factor $2$ out of $- 14$ .

$\frac{2 (- 7)}{30}$

Step 8.2

Cancel the common factors.

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Step 8.2.1

Factor $2$ out of $30$ .

$\frac{2 \cdot - 7}{2 \cdot 15}$

Step 8.2.2

Cancel the common factor.

$\frac{2 \cdot - 7}{2 \cdot 15}$

Step 8.2.3

Rewrite the expression.

$\frac{- 7}{15}$

Step 9

Move the negative in front of the fraction.

$- \frac{7}{15}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{15}$

Decimal Form:

$- 0.4\overline{6}$