Question

What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point) Responses 465 4 Start Fraction 6 over 5 End Fraction 465 S

Answer 1

word form no special charactors

Answer 2

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

1. **Write the decimal as a fraction**:
\[
4.65 = \frac{465}{100}
\]

2. **Simplify the fraction**:
To simplify \(\frac{465}{100}\), we need to find the greatest common divisor (GCD) of 465 and 100.

- The prime factorization of 465 is \(3 \times 5 \times 31\).
- The prime factorization of 100 is \(2^2 \times 5^2\).

The only common factor is 5.

3. **Divide both the numerator and the denominator by 5**:
\[
\frac{465 \div 5}{100 \div 5} = \frac{93}{20}
\]

So, the decimal 4.65 converted to a fraction in simplest form is:

\[
\frac{93}{20}
\]

Answer 3

The number 4.65 in word form is "four and sixty-five hundredths."