Basic Math Examples

2 \frac{2}{4}

$2 \frac{2}{4}$

Step 1

Convert

2 \frac{2}{4}

$2 \frac{2}{4}$ 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{2}{4}

$2 + \frac{2}{4}$

Step 1.2

Add

2

$2$ and

\frac{2}{4}

$\frac{2}{4}$ .

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Step 1.2.1

To write

2

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

\frac{4}{4}

$\frac{4}{4}$ .

2 \cdot \frac{4}{4} + \frac{2}{4}

$2 \cdot \frac{4}{4} + \frac{2}{4}$

Step 1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{2 \cdot 4}{4} + \frac{2}{4}

$\frac{2 \cdot 4}{4} + \frac{2}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 4 + 2}{4}

$\frac{2 \cdot 4 + 2}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 + 2}{4}

$\frac{8 + 2}{4}$

Step 1.2.4.2

Add

8

$8$ and

2

$2$ .

\frac{10}{4}

$\frac{10}{4}$

\frac{10}{4}

$\frac{10}{4}$

\frac{10}{4}

$\frac{10}{4}$

\frac{10}{4}

$\frac{10}{4}$

Step 2

Cancel the common factor of

10

$10$ and

4

$4$ .

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Step 2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5)}{4}

$\frac{2 (5)}{4}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

2

$2$ out of

4

$4$ .

\frac{2 \cdot 5}{2 \cdot 2}

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{5}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$