Algebra Examples

$- \frac{5}{12} \div \frac{25}{18}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{5}{12} \cdot \frac{18}{25}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{5}{12}$ into the numerator.

$\frac{- 5}{12} \cdot \frac{18}{25}$

Step 2.2

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{12} \cdot \frac{18}{25}$

Step 2.3

Factor $5$ out of $25$ .

$\frac{5 \cdot - 1}{12} \cdot \frac{18}{5 \cdot 5}$

Step 2.4

Cancel the common factor.

$\frac{5 \cdot - 1}{12} \cdot \frac{18}{5 \cdot 5}$

Step 2.5

Rewrite the expression.

$\frac{- 1}{12} \cdot \frac{18}{5}$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Factor $6$ out of $12$ .

$\frac{- 1}{6 (2)} \cdot \frac{18}{5}$

Step 3.2

Factor $6$ out of $18$ .

$\frac{- 1}{6 \cdot 2} \cdot \frac{6 \cdot 3}{5}$

Step 3.3

Cancel the common factor.

$\frac{- 1}{6 \cdot 2} \cdot \frac{6 \cdot 3}{5}$

Step 3.4

Rewrite the expression.

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

Step 4

Multiply $\frac{- 1}{2}$ by $\frac{3}{5}$ .

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

Step 5

Multiply $- 1$ by $3$ .

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

Step 6

Multiply $2$ by $5$ .

$\frac{- 3}{10}$

Step 7

Move the negative in front of the fraction.

$- \frac{3}{10}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{10}$

Decimal Form:

$- 0.3$