Question

What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

A. 4 13/20

B. 4 6/5

C. 4/65

D. 4 65/100

Answer 1

To convert 4.65 to a fraction, follow these steps:

1. **Separate the whole number from the decimal**:
\[
4.65 = 4 + 0.65
\]

2. **Convert the decimal (0.65) to a fraction**:
\[
0.65 = \frac{65}{100}
\]
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5:
\[
\frac{65 \div 5}{100 \div 5} = \frac{13}{20}
\]

3. **Combine the whole number and the fraction**:
\[
4.65 = 4 + 0.65 = 4 + \frac{13}{20} = 4 \frac{13}{20}
\]

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

The correct answer is **A. 4 13/20**.