Basic Math Examples

8 \frac{1}{3} \cdot 2

$8 \frac{1}{3} \cdot 2$

Step 1

Convert

8 \frac{1}{3}

$8 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

(8 + \frac{1}{3}) \cdot 2

$(8 + \frac{1}{3}) \cdot 2$

Step 1.2

Add

8

$8$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

(8 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 2

$(8 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 2$

Step 1.2.2

Combine

8

$8$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{8 \cdot 3}{3} + \frac{1}{3}) \cdot 2

$(\frac{8 \cdot 3}{3} + \frac{1}{3}) \cdot 2$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 3 + 1}{3} \cdot 2

$\frac{8 \cdot 3 + 1}{3} \cdot 2$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

8

$8$ by

3

$3$ .

\frac{24 + 1}{3} \cdot 2

$\frac{24 + 1}{3} \cdot 2$

Step 1.2.4.2

Add

24

$24$ and

1

$1$ .

\frac{25}{3} \cdot 2

$\frac{25}{3} \cdot 2$

\frac{25}{3} \cdot 2

$\frac{25}{3} \cdot 2$

\frac{25}{3} \cdot 2

$\frac{25}{3} \cdot 2$

\frac{25}{3} \cdot 2

$\frac{25}{3} \cdot 2$

Step 2

Multiply

\frac{25}{3} \cdot 2

$\frac{25}{3} \cdot 2$ .

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Step 2.1

Combine

\frac{25}{3}

$\frac{25}{3}$ and

2

$2$ .

\frac{25 \cdot 2}{3}

$\frac{25 \cdot 2}{3}$

Step 2.2

Multiply

25

$25$ by

2

$2$ .

\frac{50}{3}

$\frac{50}{3}$

\frac{50}{3}

$\frac{50}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{50}{3}

$\frac{50}{3}$

Decimal Form:

16. ¯ 6

$16.\overline{6}$

Mixed Number Form:

16 \frac{2}{3}

$16 \frac{2}{3}$