To convert 4.65 to a fraction, first, we express it as a mixed number.
- Write 4.65 as \(4 + 0.65\).
- Convert 0.65 to a fraction. Since 0.65 is equivalent to \( \frac{65}{100} \), we can simplify \( \frac{65}{100} \).
- The greatest common divisor (GCD) of 65 and 100 is 5. \[ \frac{65 \div 5}{100 \div 5} = \frac{13}{20} \]
- Now, we can write 4.65 as: \[ 4 + \frac{13}{20} = \frac{80}{20} + \frac{13}{20} = \frac{93}{20} \]
Now, let's analyze the options given to see if they match \( \frac{93}{20} \).
Out of the options:
- \(4 \frac{13}{20} = \frac{93}{20}\)
- \( \frac{4}{65} \) is not equivalent.
- \(4 \frac{64}{100}\) equals \(4.64\), not \(4.65\).
- \(4 \frac{6}{5} = 4 + 1.2 = 5.2\), not equivalent.
The correct answer representing 4.65 as a fraction in simplest form is \( 4 \frac{13}{20} \).
1 answer