Question

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

4 6/5
4 Start Fraction 6 over 5 End Fraction

4/65
Start Fraction 4 over 65 End Fraction

4 65/100
4 Start Fraction 65 over 100 End Fraction

4 13/20
4 Start Fraction 13 over 20 End Fraction

Answer 1

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

1. Start with the whole number part: 4.
2. The decimal part is 0.65, which can be expressed as a fraction.

0.65 is equivalent to \( \frac{65}{100} \).

Next, we simplify \( \frac{65}{100} \):
- The greatest common divisor (GCD) of 65 and 100 is 5.
- Dividing both the numerator and the denominator by 5 gives us \( \frac{13}{20} \).

Now we can write 4.65 as a mixed number:
\[ 4.65 = 4 + \frac{65}{100} = 4 + \frac{13}{20} \]

Thus, 4.65 as a fraction in simplest form is:
\[ 4 \frac{13}{20} \]

So the correct answer is:
**4 Start Fraction 13 over 20 End Fraction**.