Basic Math Examples

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

Step 1

Convert

$3 \frac{2}{3}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{2}{5} \cdot (3 + \frac{2}{3})$

Step 1.2

Add

$3$ and

$\frac{2}{3}$ .

Tap for more steps...

Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{2}{5} \cdot (3 \cdot \frac{3}{3} + \frac{2}{3})$

Step 1.2.2

Combine

$3$ and

$\frac{3}{3}$ .

$\frac{2}{5} \cdot (\frac{3 \cdot 3}{3} + \frac{2}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$3$ by

$3$ .

$\frac{2}{5} \cdot \frac{9 + 2}{3}$

Step 1.2.4.2

Add

$9$ and

$2$ .

$\frac{2}{5} \cdot \frac{11}{3}$

Step 2

Multiply

$\frac{2}{5} \cdot \frac{11}{3}$ .

Tap for more steps...

Step 2.1

Multiply

$\frac{2}{5}$ by

$\frac{11}{3}$ .

$\frac{2 \cdot 11}{5 \cdot 3}$

Step 2.2

Multiply

$2$ by

$11$ .

$\frac{22}{5 \cdot 3}$

Step 2.3

Multiply

$5$ by

$3$ .

$\frac{22}{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{22}{15}$

Decimal Form:

$1.4\overline{6}$

Mixed Number Form:

$1 \frac{7}{15}$