Convert to a Simplified Fraction 45.5

$45.5$

Step 1

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

$1$ number to the right of the decimal point, place the decimal number over

$10^{1}$

$(10)$ . Next, add the whole number to the left of the decimal.

$45 \frac{5}{10}$

Step 2

Reduce the fractional part of the mixed number.

$45 \frac{1}{2}$

Step 3

Convert

$45 \frac{1}{2}$ to an improper fraction.

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

$45 + \frac{1}{2}$

Add

$45$ and

$\frac{1}{2}$ .

To write

$45$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$45 \cdot \frac{2}{2} + \frac{1}{2}$

Combine

$45$ and

$\frac{2}{2}$ .

$\frac{45 \cdot 2}{2} + \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{45 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply

$45$ by

$2$ .

$\frac{90 + 1}{2}$

Add

$90$ and

$1$ .

$\frac{91}{2}$