Algebra Examples

$- \frac{6}{5} \div (- \frac{12}{25})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{6}{5} (- \frac{25}{12})$

Step 2

Cancel the common factor of $6$ .

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Step 2.1

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

$\frac{- 6}{5} (- \frac{25}{12})$

Step 2.2

Move the leading negative in $- \frac{25}{12}$ into the numerator.

$\frac{- 6}{5} \cdot \frac{- 25}{12}$

Step 2.3

Factor $6$ out of $- 6$ .

$\frac{6 (- 1)}{5} \cdot \frac{- 25}{12}$

Step 2.4

Factor $6$ out of $12$ .

$\frac{6 \cdot - 1}{5} \cdot \frac{- 25}{6 \cdot 2}$

Step 2.5

Cancel the common factor.

$\frac{6 \cdot - 1}{5} \cdot \frac{- 25}{6 \cdot 2}$

Step 2.6

Rewrite the expression.

$\frac{- 1}{5} \cdot \frac{- 25}{2}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $- 25$ .

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

Step 3.2

Cancel the common factor.

$\frac{- 1}{5} \cdot \frac{5 \cdot - 5}{2}$

Step 3.3

Rewrite the expression.

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

Step 4

Move the negative in front of the fraction.

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

Step 5

Multiply $- - \frac{5}{2}$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{5}{2})$

Step 5.2

Multiply $\frac{5}{2}$ by $1$ .

$\frac{5}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$