what is 4.65 converted to a fraction? The answer should be given in simplest form

Question

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.