Question

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

41320
4 Start Fraction 13 over 20 End Fraction

465
Start Fraction 4 over 65 End Fraction

465
4 Start Fraction 6 over 5 End Fraction

465100

Answer 1

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

1. Take the whole number part: 4
2. Take the decimal part: 0.65

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

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

Now, combine the whole number and the simplified fraction:
\[
4.65 = 4 + 0.65 = 4 + \frac{13}{20} = \frac{80}{20} + \frac{13}{20} = \frac{93}{20}
\]

Thus, the simplest form of 4.65 as a fraction is:
\[
\frac{93}{20}
\]

However, looking at your response options, it seems they include only the fraction for 4.65 without the whole number. Therefore, since the closest answer is:
**4 Start Fraction 13 over 20 End Fraction**, this indicates that it is recognizing the fractional part.

So the final answer, expressed correctly in options, would be:
**4 Start Fraction 13 over 20 End Fraction** (which represents the whole number and fractional part combined).