Basic Math Examples

$\frac{12}{15} \div (- \frac{6}{5})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{15} (- \frac{5}{6})$

Step 2

Cancel the common factor of $6$ .

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Step 2.1

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$\frac{12}{15} \cdot \frac{- 5}{6}$

Step 2.2

Factor $6$ out of $12$ .

$\frac{6 (2)}{15} \cdot \frac{- 5}{6}$

Step 2.3

Cancel the common factor.

$\frac{6 \cdot 2}{15} \cdot \frac{- 5}{6}$

Step 2.4

Rewrite the expression.

$\frac{2}{15} \cdot - 5$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $15$ .

$\frac{2}{5 (3)} \cdot - 5$

Step 3.2

Factor $5$ out of $- 5$ .

$\frac{2}{5 \cdot 3} \cdot (5 \cdot - 1)$

Step 3.3

Cancel the common factor.

$\frac{2}{5 \cdot 3} \cdot (5 \cdot - 1)$

Step 3.4

Rewrite the expression.

$\frac{2}{3} \cdot - 1$

Step 4

Combine $\frac{2}{3}$ and $- 1$ .

$\frac{2 \cdot - 1}{3}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $2$ by $- 1$ .

$\frac{- 2}{3}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$