Convert to an Improper Fraction 11 1/2

$11 \frac{1}{2}$

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

$11 + \frac{1}{2}$

Add $11$ and $\frac{1}{2}$ .

To write $11$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$11 \cdot \frac{2}{2} + \frac{1}{2}$

Combine $11$ and $\frac{2}{2}$ .

$\frac{11 \cdot 2}{2} + \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{11 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $11$ by $2$ .

$\frac{22 + 1}{2}$

Add $22$ and $1$ .

$\frac{23}{2}$