Question

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

Answer 1

To convert the decimal 4.65 to a fraction, we can break it down as follows:

1. First, separate the whole number from the decimal. The whole number is 4.
2. The decimal part, 0.65, can be converted to a fraction.

To convert 0.65 to a fraction:
- 0.65 is the same as 65/100 (since there are two decimal places).
- Next, we simplify 65/100 by finding the greatest common divisor (GCD) of 65 and 100, which is 5.

So:
\[
\frac{65 \div 5}{100 \div 5} = \frac{13}{20}
\]

Now, we can combine the whole number and the fraction:
\[
4 + \frac{13}{20} = 4 \frac{13}{20}
\]

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

From the options given:
- **4 13/20** is the correct answer.