Basic Math Examples

2 \frac{2}{6}

$2 \frac{2}{6}$

Step 1

Convert

2 \frac{2}{6}

$2 \frac{2}{6}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

2 + \frac{2}{6}

$2 + \frac{2}{6}$

Step 1.2

Add

2

$2$ and

\frac{2}{6}

$\frac{2}{6}$ .

Tap for more steps...

Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

2 \cdot \frac{6}{6} + \frac{2}{6}

$2 \cdot \frac{6}{6} + \frac{2}{6}$

Step 1.2.2

Combine

2

$2$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{2 \cdot 6}{6} + \frac{2}{6}

$\frac{2 \cdot 6}{6} + \frac{2}{6}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 6 + 2}{6}

$\frac{2 \cdot 6 + 2}{6}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

2

$2$ by

6

$6$ .

\frac{12 + 2}{6}

$\frac{12 + 2}{6}$

Step 1.2.4.2

Add

12

$12$ and

2

$2$ .

\frac{14}{6}

$\frac{14}{6}$

\frac{14}{6}

$\frac{14}{6}$

\frac{14}{6}

$\frac{14}{6}$

\frac{14}{6}

$\frac{14}{6}$

Step 2

Cancel the common factor of

14

$14$ and

6

$6$ .

Tap for more steps...

Step 2.1

Factor

2

$2$ out of

14

$14$ .

\frac{2 (7)}{6}

$\frac{2 (7)}{6}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 \cdot 7}{2 \cdot 3}

$\frac{2 \cdot 7}{2 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{7}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{3}$

Decimal Form:

$2.\overline{3}$

Mixed Number Form:

$2 \frac{1}{3}$