The problem asks to convert the percentage $55\%$ into a fraction in simplest form. We are given that $55\%$ is equal to $0.55$ as a decimal.

ArithmeticPercentageFractionSimplificationDecimal Conversion
2025/4/18

1. Problem Description

The problem asks to convert the percentage 55%55\% into a fraction in simplest form. We are given that 55%55\% is equal to 0.550.55 as a decimal.

2. Solution Steps

First, we can express 55%55\% as a fraction by dividing by 100:
55%=5510055\% = \frac{55}{100}
Now, we need to simplify this fraction. Both the numerator and denominator are divisible by

5. $\frac{55}{100} = \frac{55 \div 5}{100 \div 5} = \frac{11}{20}$

Since 11 is a prime number and 20 is not divisible by 11, the fraction 1120\frac{11}{20} is in simplest form.

3. Final Answer

55%=112055\% = \frac{11}{20}

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