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Question

0.82 as a rational number

Answer 1

To express the decimal 0.82 as a rational number, we can follow these steps:

1. Identify the decimal: The decimal 0.82 can be written as \( \frac{82}{100} \), since there are two digits after the decimal point.

2. Simplify the fraction: Next, we can simplify \( \frac{82}{100} \) by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 82 and 100 is 2.

3. Divide both the numerator and denominator by their GCD: \[ \frac{82 \div 2}{100 \div 2} = \frac{41}{50} \]

So, the decimal 0.82 as a rational number is \( \frac{41}{50} \).