To convert 5.5% to a fraction in simplest form, follow these steps:
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Convert the percentage to a decimal: \[ 5.5% = \frac{5.5}{100} = \frac{55}{1000} \quad \text{(since } 5.5 = \frac{55}{10}) \]
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Convert the decimal fraction to a simpler fraction: \[ \frac{55}{1000} \]
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Simplify the fraction: To simplify, find the greatest common divisor (GCD) of the numerator (55) and the denominator (1000).
- The factors of 55 are: 1, 5, 11, 55
- The factors of 1000 are: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
- The GCD of 55 and 1000 is 5.
Divide both the numerator and the denominator by their GCD: \[ \frac{55 \div 5}{1000 \div 5} = \frac{11}{200} \]
Thus, the fraction representing 5.5% in simplest form is: \[ \boxed{\frac{11}{200}} \]
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