Algebra Examples

$4 \frac{1}{2}$

Step 1

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

$4 + \frac{1}{2}$

Step 2

Add $4$ and $\frac{1}{2}$ .

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Step 2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$4 \cdot \frac{2}{2} + \frac{1}{2}$

Step 2.2

Combine $4$ and $\frac{2}{2}$ .

$\frac{4 \cdot 2}{2} + \frac{1}{2}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 1}{2}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $4$ by $2$ .

$\frac{8 + 1}{2}$

Step 2.4.2

Add $8$ and $1$ .

$\frac{9}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$