Question

What is 4.65 converted to a fraction? The answer should be given in simplest form
4 13/20
4/65
4 65/100
4 6/5

Answer 1

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

1. **Separate the whole number from the decimal:**
\(4.65\) can be written as \(4 + 0.65\).

2. **Convert the decimal part to a fraction:**
The decimal \(0.65\) can be expressed as \(\frac{65}{100}\).

3. **Simplify the fraction \(\frac{65}{100}\):**
Both the numerator and the denominator can be divided by \(5\):
\[
\frac{65 \div 5}{100 \div 5} = \frac{13}{20}.
\]

4. **Combine the whole number and the fraction:**
Therefore, \(4.65\) can be written as
\[
4 + \frac{13}{20} = 4 \frac{13}{20}.
\]

Thus, the simplest form of \(4.65\) as a fraction is **\(4 \frac{13}{20}\)**.

Among the options given, the correct answer is:
**4 13/20**.