The problem asks us to express 74% as a fraction in simplest form.

1. Problem Description

The problem asks us to express 74% as a fraction in simplest form.

2. Solution Steps

First, we write the percentage as a fraction by dividing by 100:

$74\% = \frac{74}{100}$

Now we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

The factors of 74 are 1, 2, 37, and

7

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

1

0

0. The greatest common divisor of 74 and 100 is

2. We divide both the numerator and the denominator by 2:

$\frac{74}{100} = \frac{74 \div 2}{100 \div 2} = \frac{37}{50}$

Since 37 is a prime number and does not divide 50, the fraction $\frac{37}{50}$ is in simplest form.

3. Final Answer

$\frac{37}{50}$