The problem asks us to convert the percentage $24\%$ into a fraction in its simplest form. We are given that $24\%$ is equivalent to $0.24$ as a decimal.

1. Problem Description

The problem asks us to convert the percentage $24\%$ into a fraction in its simplest form. We are given that $24\%$ is equivalent to $0.24$ as a decimal.

2. Solution Steps

To convert a percentage to a fraction, we first express the percentage as a fraction with a denominator of

1

0

0. $24\% = \frac{24}{100}$.

Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 24 and 100 is

4.

Dividing both the numerator and the denominator by 4, we get

$\frac{24}{100} = \frac{24 \div 4}{100 \div 4} = \frac{6}{25}$.

Since 6 and 25 have no common factors other than 1, the fraction $\frac{6}{25}$ is in simplest form.

3. Final Answer

$\frac{6}{25}$