The problem asks us to convert the percentage 68% into a decimal and a fraction in its simplest form.

1. Problem Description

The problem asks us to convert the percentage 68% into a decimal and a fraction in its simplest form.

2. Solution Steps

First, convert the percentage to a decimal. To do this, divide the percentage by

1

0

0. $68\% = \frac{68}{100} = 0.68$

Next, convert the percentage to a fraction. We already have the fraction $\frac{68}{100}$. Now, we simplify this fraction to its simplest form by finding the greatest common divisor (GCD) of 68 and

1

0

0. The factors of 68 are 1, 2, 4, 17, 34, and

6

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

1

0

0. The greatest common divisor of 68 and 100 is

4. Now, we divide both the numerator and the denominator by

4. $\frac{68}{100} = \frac{68 \div 4}{100 \div 4} = \frac{17}{25}$

3. Final Answer

The decimal form of 68% is 0.

6

8. The simplest form of the fraction is $\frac{17}{25}$.