The problem requires expressing 6% as a decimal and as a fraction in simplest form. The decimal representation is already given, and we need to find the simplest form of the fraction.

1. Problem Description

The problem requires expressing 6% as a decimal and as a fraction in simplest form. The decimal representation is already given, and we need to find the simplest form of the fraction.

2. Solution Steps

We are given that 6% is equal to 0.06 as a decimal. We need to express 6% as a fraction in its simplest form.

First, we express the percentage as a fraction with a denominator of 100:

$6\% = \frac{6}{100}$

Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 6 and 100 is

2.

Dividing the numerator and denominator by 2:

$\frac{6}{100} = \frac{6 \div 2}{100 \div 2} = \frac{3}{50}$

The fraction $\frac{3}{50}$ is in simplest form because 3 and 50 have no common factors other than

1.

3. Final Answer

6% = $\frac{3}{50}$