Question
Convert the decimal 8.2 to fraction
Answers
GPT-4o mini
To convert the decimal 8.2 to a fraction, you can follow these steps:
1. **Separate the whole number and the decimal part**: The whole number is 8, and the decimal part is 0.2.
2. **Convert the decimal part to a fraction**: The decimal 0.2 is equivalent to \( \frac{2}{10} \).
3. **Simplify the fraction**: \( \frac{2}{10} \) can be simplified by dividing the numerator and the denominator by their greatest common divisor (which is 2):
\[
\frac{2 \div 2}{10 \div 2} = \frac{1}{5}
\]
4. **Combine the whole number and the fraction**: You can express the number as:
\[
8 + \frac{1}{5} = \frac{8 \cdot 5}{5} + \frac{1}{5} = \frac{40}{5} + \frac{1}{5} = \frac{41}{5}
\]
So, the decimal 8.2 as a fraction is \( \frac{41}{5} \).
1. **Separate the whole number and the decimal part**: The whole number is 8, and the decimal part is 0.2.
2. **Convert the decimal part to a fraction**: The decimal 0.2 is equivalent to \( \frac{2}{10} \).
3. **Simplify the fraction**: \( \frac{2}{10} \) can be simplified by dividing the numerator and the denominator by their greatest common divisor (which is 2):
\[
\frac{2 \div 2}{10 \div 2} = \frac{1}{5}
\]
4. **Combine the whole number and the fraction**: You can express the number as:
\[
8 + \frac{1}{5} = \frac{8 \cdot 5}{5} + \frac{1}{5} = \frac{40}{5} + \frac{1}{5} = \frac{41}{5}
\]
So, the decimal 8.2 as a fraction is \( \frac{41}{5} \).