Convert to a Simplified Fraction 23.25

$23.25$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

$2$ numbers to the right of the decimal point, place the decimal number over

$10^{2}$

$(100)$ . Next, add the whole number to the left of the decimal.

$23 \frac{25}{100}$

Step 2

Reduce the fractional part of the mixed number.

$23 \frac{1}{4}$

Step 3

Convert

$23 \frac{1}{4}$ to an improper fraction.

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

$23 + \frac{1}{4}$

Add

$23$ and

$\frac{1}{4}$ .

To write

$23$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$23 \cdot \frac{4}{4} + \frac{1}{4}$

Combine

$23$ and

$\frac{4}{4}$ .

$\frac{23 \cdot 4}{4} + \frac{1}{4}$

Combine the numerators over the common denominator.

$\frac{23 \cdot 4 + 1}{4}$

Simplify the numerator.

Multiply

$23$ by

$4$ .

$\frac{92 + 1}{4}$

Add

$92$ and

$1$ .

$\frac{93}{4}$