Basic Math Examples

$11 \frac{1}{3} \cdot 11 \frac{2}{3}$

Step 1

Convert

$11 \frac{1}{3}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$(11 + \frac{1}{3}) \cdot 11 \frac{2}{3}$

Step 1.2

Add

$11$ and

$\frac{1}{3}$ .

Tap for more steps...

Step 1.2.1

To write

$11$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$(11 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 11 \frac{2}{3}$

Step 1.2.2

Combine

$11$ and

$\frac{3}{3}$ .

$(\frac{11 \cdot 3}{3} + \frac{1}{3}) \cdot 11 \frac{2}{3}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{11 \cdot 3 + 1}{3} \cdot 11 \frac{2}{3}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$11$ by

$3$ .

$\frac{33 + 1}{3} \cdot 11 \frac{2}{3}$

Step 1.2.4.2

Add

$33$ and

$1$ .

$\frac{34}{3} \cdot 11 \frac{2}{3}$

Step 2

Convert

$11 \frac{2}{3}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{34}{3} \cdot (11 + \frac{2}{3})$

Step 2.2

Add

$11$ and

$\frac{2}{3}$ .

Tap for more steps...

Step 2.2.1

To write

$11$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{34}{3} \cdot (11 \cdot \frac{3}{3} + \frac{2}{3})$

Step 2.2.2

Combine

$11$ and

$\frac{3}{3}$ .

$\frac{34}{3} \cdot (\frac{11 \cdot 3}{3} + \frac{2}{3})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{34}{3} \cdot \frac{11 \cdot 3 + 2}{3}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

$11$ by

$3$ .

$\frac{34}{3} \cdot \frac{33 + 2}{3}$

Step 2.2.4.2

Add

$33$ and

$2$ .

$\frac{34}{3} \cdot \frac{35}{3}$

Step 3

Multiply

$\frac{34}{3} \cdot \frac{35}{3}$ .

Tap for more steps...

Step 3.1

Multiply

$\frac{34}{3}$ by

$\frac{35}{3}$ .

$\frac{34 \cdot 35}{3 \cdot 3}$

Step 3.2

Multiply

$34$ by

$35$ .

$\frac{1190}{3 \cdot 3}$

Step 3.3

Multiply

$3$ by

$3$ .

$\frac{1190}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1190}{9}$

Decimal Form:

$132.\overline{2}$

Mixed Number Form:

$132 \frac{2}{9}$