Basic Math Examples

$| \frac{4}{18} - 2 |$

Step 1

Cancel the common factor of $4$ and $18$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $4$ .

$| \frac{2 (2)}{18} - 2 |$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $2$ out of $18$ .

$| \frac{2 \cdot 2}{2 \cdot 9} - 2 |$

Step 1.2.2

Cancel the common factor.

$| \frac{2 \cdot 2}{2 \cdot 9} - 2 |$

Step 1.2.3

Rewrite the expression.

$| \frac{2}{9} - 2 |$

Step 2

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$| \frac{2}{9} - 2 \cdot \frac{9}{9} |$

Step 3

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

$| \frac{2}{9} + \frac{- 2 \cdot 9}{9} |$

Step 4

Combine the numerators over the common denominator.

$| \frac{2 - 2 \cdot 9}{9} |$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $- 2$ by $9$ .

$| \frac{2 - 18}{9} |$

Step 5.2

Subtract $18$ from $2$ .

$| \frac{- 16}{9} |$

Step 6

Move the negative in front of the fraction.

$| - \frac{16}{9} |$

Step 7

$- \frac{16}{9}$ is approximately $- 1.\overline{7}$ which is negative so negate $- \frac{16}{9}$ and remove the absolute value

$\frac{16}{9}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{9}$

Decimal Form:

$1.\overline{7}$

Mixed Number Form:

$1 \frac{7}{9}$