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

Question

Responses

4 1320
4 1320

465
4 over 65

465100
465 over 100

465

Answer 1

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

1. Separate the whole number from the decimal:

   • The whole number is 4, and the decimal part is 0.65.

2. Convert the decimal part to a fraction:

   • 0.65 can be written as \( \frac{65}{100} \).

3. Simplify \( \frac{65}{100} \):

   • The greatest common divisor (GCD) of 65 and 100 is 5.
   • Divide both the numerator and the denominator by 5: \[ \frac{65 \div 5}{100 \div 5} = \frac{13}{20} \]

4. Combine the whole number and the fraction:

   • The proper way to express this is to write it as a mixed number:
     • \( 4 \frac{13}{20} \).

Therefore, the correct response is:

4 13/20 (which is not listed among the provided response options. If you're looking for an improper fraction form, you could express it as \( \frac{93}{20} \)).

However from the available options, none are correct.