Basic Math Examples

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

Step 1

To write $3$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

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

Step 2

Combine $3$ and $\frac{6}{6}$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Multiply $3$ by $6$ .

$\frac{18 + 5}{6} (3 - \frac{5}{6})$

Step 4.2

Add $18$ and $5$ .

$\frac{23}{6} (3 - \frac{5}{6})$

Step 5

To write $3$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{23}{6} (3 \cdot \frac{6}{6} - \frac{5}{6})$

Step 6

Combine $3$ and $\frac{6}{6}$ .

$\frac{23}{6} (\frac{3 \cdot 6}{6} - \frac{5}{6})$

Step 7

Combine the numerators over the common denominator.

$\frac{23}{6} \cdot \frac{3 \cdot 6 - 5}{6}$

Step 8

Simplify the numerator.

Tap for more steps...

Step 8.1

Multiply $3$ by $6$ .

$\frac{23}{6} \cdot \frac{18 - 5}{6}$

Step 8.2

Subtract $5$ from $18$ .

$\frac{23}{6} \cdot \frac{13}{6}$

Step 9

Multiply $\frac{23}{6} \cdot \frac{13}{6}$ .

Tap for more steps...

Step 9.1

Multiply $\frac{23}{6}$ by $\frac{13}{6}$ .

$\frac{23 \cdot 13}{6 \cdot 6}$

Step 9.2

Multiply $23$ by $13$ .

$\frac{299}{6 \cdot 6}$

Step 9.3

Multiply $6$ by $6$ .

$\frac{299}{36}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{299}{36}$

Decimal Form:

$8.30\overline{5}$

Mixed Number Form:

$8 \frac{11}{36}$