Finite Math Examples

$\frac{13}{6} \div \frac{1}{3} - \frac{6}{3}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

To divide by a fraction, multiply by its reciprocal.

$\frac{13}{6} \cdot 3 - \frac{6}{3}$

Step 1.2

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.2.1

Factor $3$ out of $6$ .

$\frac{13}{3 (2)} \cdot 3 - \frac{6}{3}$

Step 1.2.2

Cancel the common factor.

$\frac{13}{3 \cdot 2} \cdot 3 - \frac{6}{3}$

Step 1.2.3

Rewrite the expression.

$\frac{13}{2} - \frac{6}{3}$

Step 1.3

Divide $6$ by $3$ .

$\frac{13}{2} - 1 \cdot 2$

Step 1.4

Multiply $- 1$ by $2$ .

$\frac{13}{2} - 2$

Step 2

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

$\frac{13}{2} - 2 \cdot \frac{2}{2}$

Step 3

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

$\frac{13}{2} + \frac{- 2 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{13 - 2 \cdot 2}{2}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $- 2$ by $2$ .

$\frac{13 - 4}{2}$

Step 5.2

Subtract $4$ from $13$ .

$\frac{9}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$