Question

What is 4.65 converted to a fraction? The answer should be given in simplest form.
4 6/5
4 Start Fraction 6 over 5 End Fraction

4 65/100
4 Start Fraction 65 over 100 End Fraction

4/65
Start Fraction 4 over 65 End Fraction

4 13/20

Answer 1

To convert 4.65 to a fraction, we can follow these steps:

1. **Separate the whole number and the decimal**: The whole number part is 4, and the decimal part is 0.65.

2. **Convert the decimal to a fraction**:
\[
0.65 = \frac{65}{100}
\]

3. **Simplify the fraction**: To simplify \(\frac{65}{100}\), we find the greatest common divisor (GCD) of 65 and 100, which is 5. Therefore:
\[
\frac{65 \div 5}{100 \div 5} = \frac{13}{20}
\]

4. **Combine the whole number and the fractional part**:
So, we can write:
\[
4.65 = 4 + \frac{13}{20} = \frac{80}{20} + \frac{13}{20} = \frac{93}{20}
\]

Thus, 4.65 as a fraction in simplest form is:

\[
4 \frac{13}{20}
\]

So, the correct answer is **4 13/20**.