Question
2.65 into a improper fraction or mixed numbers
Answers
GPT-4o mini
To convert the decimal 2.65 into an improper fraction or mixed number, follow these steps:
1. **Identify the whole number and decimal part**:
- The whole number is 2.
- The decimal part is 0.65.
2. **Convert the decimal part to a fraction**:
- 0.65 can be written as \( \frac{65}{100} \).
- Simplify \( \frac{65}{100} \) by dividing both the numerator and denominator by 5:
\[
\frac{65 \div 5}{100 \div 5} = \frac{13}{20}.
\]
3. **Combine the whole number and the fraction**:
- To express 2.65 as a mixed number, we write it as:
\[
2 \frac{13}{20}.
\]
4. **Convert to an improper fraction** (if needed):
- To convert the mixed number \( 2 \frac{13}{20} \) to an improper fraction:
\[
2 \frac{13}{20} = \frac{(2 \times 20) + 13}{20} = \frac{40 + 13}{20} = \frac{53}{20}.
\]
Thus, 2.65 can be expressed as a mixed number, \( 2 \frac{13}{20} \), or as an improper fraction, \( \frac{53}{20} \).
1. **Identify the whole number and decimal part**:
- The whole number is 2.
- The decimal part is 0.65.
2. **Convert the decimal part to a fraction**:
- 0.65 can be written as \( \frac{65}{100} \).
- Simplify \( \frac{65}{100} \) by dividing both the numerator and denominator by 5:
\[
\frac{65 \div 5}{100 \div 5} = \frac{13}{20}.
\]
3. **Combine the whole number and the fraction**:
- To express 2.65 as a mixed number, we write it as:
\[
2 \frac{13}{20}.
\]
4. **Convert to an improper fraction** (if needed):
- To convert the mixed number \( 2 \frac{13}{20} \) to an improper fraction:
\[
2 \frac{13}{20} = \frac{(2 \times 20) + 13}{20} = \frac{40 + 13}{20} = \frac{53}{20}.
\]
Thus, 2.65 can be expressed as a mixed number, \( 2 \frac{13}{20} \), or as an improper fraction, \( \frac{53}{20} \).