Basic Math Examples

12 \frac{1}{3}

$12 \frac{1}{3}$

Step 1

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

12 + \frac{1}{3}

$12 + \frac{1}{3}$

Step 2

Add

12

$12$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 2.1

To write

12

$12$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

12 \cdot \frac{3}{3} + \frac{1}{3}

$12 \cdot \frac{3}{3} + \frac{1}{3}$

Step 2.2

Combine

12

$12$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{12 \cdot 3}{3} + \frac{1}{3}

$\frac{12 \cdot 3}{3} + \frac{1}{3}$

Step 2.3

Combine the numerators over the common denominator.

\frac{12 \cdot 3 + 1}{3}

$\frac{12 \cdot 3 + 1}{3}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

12

$12$ by

3

$3$ .

\frac{36 + 1}{3}

$\frac{36 + 1}{3}$

Step 2.4.2

Add

36

$36$ and

1

$1$ .

\frac{37}{3}

$\frac{37}{3}$

\frac{37}{3}

$\frac{37}{3}$

\frac{37}{3}

$\frac{37}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{37}{3}

$\frac{37}{3}$

Decimal Form:

12. ¯ 3

$12.\overline{3}$

Mixed Number Form:

12 \frac{1}{3}

$12 \frac{1}{3}$