The problem asks us to convert the percentage $32\%$ into a fraction in its simplest form.

1. Problem Description

The problem asks us to convert the percentage $32\%$ into a fraction in its simplest form.

2. Solution Steps

First, convert the percentage to a fraction by dividing by

1

0

0. $32\% = \frac{32}{100}$

Now, simplify the fraction by finding the greatest common divisor (GCD) of 32 and

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0

0. The factors of 32 are 1, 2, 4, 8, 16, and

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

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0

0. The greatest common divisor is

4. Divide both the numerator and the denominator by

4. $\frac{32}{100} = \frac{32 \div 4}{100 \div 4} = \frac{8}{25}$

The fraction $\frac{8}{25}$ is in its simplest form, since the GCD of 8 and 25 is

1.

3. Final Answer

$\frac{8}{25}$