Basic Math Examples

$2 \frac{4}{8}$

Step 1

Convert

$2 \frac{4}{8}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add

$2$ and

$\frac{4}{8}$ .

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Step 1.2.1

To write

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

$\frac{8}{8}$ .

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

Step 1.2.2

Combine

$2$ and

$\frac{8}{8}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$8$ .

$\frac{16 + 4}{8}$

Step 1.2.4.2

Add

$16$ and

$4$ .

$\frac{20}{8}$

Step 2

Cancel the common factor of

$20$ and

$8$ .

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Step 2.1

Factor

$4$ out of

$20$ .

$\frac{4 (5)}{8}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$4$ out of

$8$ .

$\frac{4 \cdot 5}{4 \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 5}{4 \cdot 2}$

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:

$2 \frac{1}{2}$