The problem requires us to express 78% as a fraction in simplest form.

1. Problem Description

The problem requires us to express 78% as a fraction in simplest form.

2. Solution Steps

First, write the percentage as a fraction with a denominator of

1

0

0.

$78\% = \frac{78}{100}$

Now, we simplify the fraction $\frac{78}{100}$ by finding the greatest common divisor (GCD) of 78 and

1

0

0. The factors of 78 are 1, 2, 3, 6, 13, 26, 39,

7

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

1

0

0. The greatest common divisor of 78 and 100 is

2.

Now divide both the numerator and the denominator by

2.

$\frac{78}{100} = \frac{78 \div 2}{100 \div 2} = \frac{39}{50}$

The fraction $\frac{39}{50}$ is in its simplest form, as 39 and 50 have no common factors other than

1.

3. Final Answer

39/50