Question
Rewrite the decimal number 2.75 as a fraction
Answers
GPT-4o mini
To rewrite the decimal number 2.75 as a fraction, we can follow these steps:
1. **Separate the whole number and the decimal part**:
\(2.75 = 2 + 0.75\)
2. **Convert the decimal part to a fraction**:
\(0.75\) can be expressed as \(\frac{75}{100}\).
3. **Simplify the fraction**:
\(\frac{75}{100}\) can be simplified. Both the numerator and the denominator can be divided by 25:
\[
\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
\]
4. **Combine the whole number with the fraction**:
So, \(2.75 = 2 + \frac{3}{4} = \frac{2 \cdot 4}{4} + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{8 + 3}{4} = \frac{11}{4}\).
Thus, the decimal number \(2.75\) as a fraction is \(\frac{11}{4}\).
1. **Separate the whole number and the decimal part**:
\(2.75 = 2 + 0.75\)
2. **Convert the decimal part to a fraction**:
\(0.75\) can be expressed as \(\frac{75}{100}\).
3. **Simplify the fraction**:
\(\frac{75}{100}\) can be simplified. Both the numerator and the denominator can be divided by 25:
\[
\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
\]
4. **Combine the whole number with the fraction**:
So, \(2.75 = 2 + \frac{3}{4} = \frac{2 \cdot 4}{4} + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{8 + 3}{4} = \frac{11}{4}\).
Thus, the decimal number \(2.75\) as a fraction is \(\frac{11}{4}\).