Basic Math Examples

$5 \frac{4}{8}$

Step 1

Convert $5 \frac{4}{8}$ to an improper fraction.

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Step 1.1

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

$5 + \frac{4}{8}$

Step 1.2

Add $5$ and $\frac{4}{8}$ .

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Step 1.2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$5 \cdot \frac{8}{8} + \frac{4}{8}$

Step 1.2.2

Combine $5$ and $\frac{8}{8}$ .

$\frac{5 \cdot 8}{8} + \frac{4}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{5 \cdot 8 + 4}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $8$ .

$\frac{40 + 4}{8}$

Step 1.2.4.2

Add $40$ and $4$ .

$\frac{44}{8}$

Step 2

Cancel the common factor of $44$ and $8$ .

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Step 2.1

Factor $4$ out of $44$ .

$\frac{4 (11)}{8}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot 11}{4 \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 11}{4 \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{11}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{2}$

Decimal Form:

$5.5$

Mixed Number Form:

$5 \frac{1}{2}$