Basic Math Examples

2 \frac{10}{12}

$2 \frac{10}{12}$

Step 1

Convert

2 \frac{10}{12}

$2 \frac{10}{12}$ to an improper fraction.

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Step 1.1

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

2 + \frac{10}{12}

$2 + \frac{10}{12}$

Step 1.2

Add

2

$2$ and

\frac{10}{12}

$\frac{10}{12}$ .

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Step 1.2.1

To write

2

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

\frac{12}{12}

$\frac{12}{12}$ .

2 \cdot \frac{12}{12} + \frac{10}{12}

$2 \cdot \frac{12}{12} + \frac{10}{12}$

Step 1.2.2

Combine

2

$2$ and

\frac{12}{12}

$\frac{12}{12}$ .

\frac{2 \cdot 12}{12} + \frac{10}{12}

$\frac{2 \cdot 12}{12} + \frac{10}{12}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 12 + 10}{12}

$\frac{2 \cdot 12 + 10}{12}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

12

$12$ .

\frac{24 + 10}{12}

$\frac{24 + 10}{12}$

Step 1.2.4.2

Add

24

$24$ and

10

$10$ .

\frac{34}{12}

$\frac{34}{12}$

\frac{34}{12}

$\frac{34}{12}$

\frac{34}{12}

$\frac{34}{12}$

\frac{34}{12}

$\frac{34}{12}$

Step 2

Cancel the common factor of

34

$34$ and

12

$12$ .

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Step 2.1

Factor

2

$2$ out of

34

$34$ .

\frac{2 (17)}{12}

$\frac{2 (17)}{12}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 \cdot 17}{2 \cdot 6}

$\frac{2 \cdot 17}{2 \cdot 6}$

Step 2.2.2

Cancel the common factor.

\frac{2 \cdot 17}{2 \cdot 6}

$\frac{2 \cdot 17}{2 \cdot 6}$

Step 2.2.3

Rewrite the expression.

\frac{17}{6}

$\frac{17}{6}$

\frac{17}{6}

$\frac{17}{6}$

\frac{17}{6}

$\frac{17}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{17}{6}

$\frac{17}{6}$

Decimal Form:

2.8 ¯ 3

$2.8\overline{3}$

Mixed Number Form:

2 \frac{5}{6}

$2 \frac{5}{6}$