Question
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0.82 as a rational number
0.82 as a rational number
Answers
GPT-4o mini
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 \( \frac{41}{50} \).
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 \( \frac{41}{50} \).