Question
How do I convert 3.38 to a mixed number?
Answers
GPT-4o mini
To convert the decimal 3.38 to a mixed number, follow these steps:
1. **Separate the whole number**: The whole number part of 3.38 is 3.
2. **Convert the decimal portion**: The decimal part is 0.38. To convert it into a fraction, you can recognize that 0.38 is equivalent to \( \frac{38}{100} \).
3. **Simplify the fraction**: Next, simplify \( \frac{38}{100} \) by finding the greatest common divisor (GCD) of 38 and 100, which is 2.
- Dividing the numerator and denominator by 2 gives:
\[
\frac{38 \div 2}{100 \div 2} = \frac{19}{50}
\]
4. **Combine the whole number and the fraction**: Now, combine the whole number with the simplified fraction:
\[
3.38 = 3 \frac{19}{50}
\]
Thus, the mixed number representation of 3.38 is \( 3 \frac{19}{50} \).
1. **Separate the whole number**: The whole number part of 3.38 is 3.
2. **Convert the decimal portion**: The decimal part is 0.38. To convert it into a fraction, you can recognize that 0.38 is equivalent to \( \frac{38}{100} \).
3. **Simplify the fraction**: Next, simplify \( \frac{38}{100} \) by finding the greatest common divisor (GCD) of 38 and 100, which is 2.
- Dividing the numerator and denominator by 2 gives:
\[
\frac{38 \div 2}{100 \div 2} = \frac{19}{50}
\]
4. **Combine the whole number and the fraction**: Now, combine the whole number with the simplified fraction:
\[
3.38 = 3 \frac{19}{50}
\]
Thus, the mixed number representation of 3.38 is \( 3 \frac{19}{50} \).