Basic Math Examples

$\frac{4}{5} \div \frac{2}{9} \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{5} \cdot \frac{9}{2} \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{5} \cdot \frac{9}{2} \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 2.2

Cancel the common factor.

$\frac{2 \cdot 2}{5} \cdot \frac{9}{2} \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 2.3

Rewrite the expression.

$\frac{2}{5} \cdot 9 \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 3

Combine $\frac{2}{5}$ and $9$ .

$\frac{2 \cdot 9}{5} \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 4

Multiply $2$ by $9$ .

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

Step 5

Cancel the common factor of $2$ .

Tap for more steps...

Step 5.1

Factor $2$ out of $18$ .

$\frac{2 (9)}{5} \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 5.2

Cancel the common factor.

$\frac{2 \cdot 9}{5} \cdot \frac{1}{2} \cdot (- \frac{5}{6})$

Step 5.3

Rewrite the expression.

$\frac{9}{5} \cdot (- \frac{5}{6})$

Step 6

Cancel the common factor of $3$ .

Tap for more steps...

Step 6.1

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

$\frac{9}{5} \cdot \frac{- 5}{6}$

Step 6.2

Factor $3$ out of $9$ .

$\frac{3 (3)}{5} \cdot \frac{- 5}{6}$

Step 6.3

Factor $3$ out of $6$ .

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

Step 6.4

Cancel the common factor.

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

Step 6.5

Rewrite the expression.

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

Step 7

Cancel the common factor of $5$ .

Tap for more steps...

Step 7.1

Factor $5$ out of $- 5$ .

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

Step 7.2

Cancel the common factor.

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

Step 7.3

Rewrite the expression.

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

Step 8

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

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

Step 9

Simplify the expression.

Tap for more steps...

Step 9.1

Multiply $3$ by $- 1$ .

$\frac{- 3}{2}$

Step 9.2

Move the negative in front of the fraction.

$- \frac{3}{2}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

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