The problem asks to express 54% as a fraction in its simplest form. We are given that 54% can be represented as the decimal $0.54$.

ArithmeticFractionsPercentagesSimplificationGreatest Common Divisor
2025/4/18

1. Problem Description

The problem asks to express 54% as a fraction in its simplest form. We are given that 54% can be represented as the decimal 0.540.54.

2. Solution Steps

First, we express 54% as a fraction:
54%=5410054\% = \frac{54}{100}
Now, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 54 and 100 is

2. We divide both the numerator and denominator by

2. $\frac{54}{100} = \frac{54 \div 2}{100 \div 2} = \frac{27}{50}$

Since 27 and 50 have no common factors other than 1, the fraction 2750\frac{27}{50} is in simplest form.

3. Final Answer

2750\frac{27}{50}