Convert to a Decimal 11 1/4%

$11 \frac{1}{4} %$

Step 1

Convert $11 \frac{1}{4}$ to an improper fraction.

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

$11 + \frac{1}{4} %$

Add $11$ and $\frac{1}{4}$ .

To write $11$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$11 \cdot \frac{4}{4} + \frac{1}{4} %$

Combine $11$ and $\frac{4}{4}$ .

$\frac{11 \cdot 4}{4} + \frac{1}{4} %$

Combine the numerators over the common denominator.

$\frac{11 \cdot 4 + 1}{4} %$

Simplify the numerator.

Multiply $11$ by $4$ .

$\frac{44 + 1}{4} %$

Add $44$ and $1$ .

$\frac{45}{4} %$

Step 2

Convert the percentage to a fraction by placing the expression over $100$ . Percentage means out of $100$ .

$\frac{\frac{45}{4}}{100}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\frac{45}{4}}{100}$

Decimal Form:

$0.1125$