Question

To convert 0.82 to a rational number

Answer 1

To convert the decimal 0.82 to a rational number, you can follow these steps:

1. **Write the decimal as a fraction**:
\[
0.82 = \frac{82}{100}
\]

2. **Simplify the fraction**:
Both the numerator (82) and the denominator (100) can be divided by their greatest common divisor (GCD), which is 2:
\[
\frac{82 \div 2}{100 \div 2} = \frac{41}{50}
\]

Thus, the rational number equivalent of 0.82 is:
\[
\frac{41}{50}
\]