The problem asks us to express 45% as a decimal and a simplified fraction. The decimal representation is already given as 0.45. We need to find the fraction representation of 45% in simplest form.

1. Problem Description

The problem asks us to express 45% as a decimal and a simplified fraction. The decimal representation is already given as 0.

4

5. We need to find the fraction representation of 45% in simplest form.

2. Solution Steps

First, convert the percentage to a fraction by dividing by 100:

$45\% = \frac{45}{100}$

Next, simplify the fraction by finding the greatest common divisor (GCD) of 45 and

1

0

0. The factors of 45 are 1, 3, 5, 9, 15, and

4

5. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and

1

0

0. The greatest common factor is

5.

Divide both the numerator and the denominator by the GCD, which is 5:

$\frac{45 \div 5}{100 \div 5} = \frac{9}{20}$

The fraction $\frac{9}{20}$ is in simplest form because 9 and 20 have no common factors other than

1.

3. Final Answer

9/20