Basic Math Examples

$\frac{2}{3 + \frac{5}{6}}$

Step 1

Simplify the denominator.

Tap for more steps...

Step 1.1

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

$\frac{2}{3 \cdot \frac{6}{6} + \frac{5}{6}}$

Step 1.2

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

$\frac{2}{\frac{3 \cdot 6}{6} + \frac{5}{6}}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{2}{\frac{3 \cdot 6 + 5}{6}}$

Step 1.4

Simplify the numerator.

Tap for more steps...

Step 1.4.1

Multiply $3$ by $6$ .

$\frac{2}{\frac{18 + 5}{6}}$

Step 1.4.2

Add $18$ and $5$ .

$\frac{2}{\frac{23}{6}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$2 (\frac{6}{23})$

Step 3

Multiply $2 (\frac{6}{23})$ .

Tap for more steps...

Step 3.1

Combine $2$ and $\frac{6}{23}$ .

$\frac{2 \cdot 6}{23}$

Step 3.2

Multiply $2$ by $6$ .

$\frac{12}{23}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{23}$

Decimal Form:

$0.52173913 \dots$