Basic Math Examples

$- \frac{19}{30} - (- \frac{8}{30})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $8$ and $30$ .

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Step 1.1.1

Factor $2$ out of $8$ .

$- \frac{19}{30} - - \frac{2 (4)}{30}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $30$ .

$- \frac{19}{30} - - \frac{2 \cdot 4}{2 \cdot 15}$

Step 1.1.2.2

Cancel the common factor.

$- \frac{19}{30} - - \frac{2 \cdot 4}{2 \cdot 15}$

Step 1.1.2.3

Rewrite the expression.

$- \frac{19}{30} - - \frac{4}{15}$

Step 1.2

Multiply $- - \frac{4}{15}$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$- \frac{19}{30} + 1 (\frac{4}{15})$

Step 1.2.2

Multiply $\frac{4}{15}$ by $1$ .

$- \frac{19}{30} + \frac{4}{15}$

Step 2

To write $\frac{4}{15}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{19}{30} + \frac{4}{15} \cdot \frac{2}{2}$

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 $\frac{4}{15}$ by $\frac{2}{2}$ .

$- \frac{19}{30} + \frac{4 \cdot 2}{15 \cdot 2}$

Step 3.2

Multiply $15$ by $2$ .

$- \frac{19}{30} + \frac{4 \cdot 2}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 19 + 4 \cdot 2}{30}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $2$ .

$\frac{- 19 + 8}{30}$

Step 5.2

Add $- 19$ and $8$ .

$\frac{- 11}{30}$

Step 6

Move the negative in front of the fraction.

$- \frac{11}{30}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{30}$

Decimal Form:

$- 0.3\overline{6}$