Basic Math Examples

(\frac{5}{3}) (3 \frac{2}{3})

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

Step 1

Convert

3 \frac{2}{3}

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

Tap for more steps...

Step 1.1

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

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

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

Step 1.2

Add

3

$3$ and

\frac{2}{3}

$\frac{2}{3}$ .

Tap for more steps...

Step 1.2.1

To write

3

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

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.2.2

Combine

3

$3$ and

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

3

$3$ by

3

$3$ .

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

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

Step 1.2.4.2

Add

9

$9$ and

2

$2$ .

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

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

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

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

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

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

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

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

Step 2

Multiply

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

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

Tap for more steps...

Step 2.1

Multiply

\frac{5}{3}

$\frac{5}{3}$ by

\frac{11}{3}

$\frac{11}{3}$ .

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

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

Step 2.2

Multiply

5

$5$ by

11

$11$ .

\frac{55}{3 \cdot 3}

$\frac{55}{3 \cdot 3}$

Step 2.3

Multiply

3

$3$ by

3

$3$ .

\frac{55}{9}

$\frac{55}{9}$

\frac{55}{9}

$\frac{55}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{55}{9}

$\frac{55}{9}$

Decimal Form:

6. ¯ 1

$6.\overline{1}$

Mixed Number Form:

6 \frac{1}{9}

$6 \frac{1}{9}$