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

465100
4 Start Fraction 65 over 100 End Fraction

465

Answer 1

To convert 4.65 to a fraction, follow these steps:

1. Write the decimal as a fraction:
\( 4.65 = \frac{465}{100} \)

2. Simplify the fraction:
- Find the greatest common divisor (GCD) of 465 and 100.
- The GCD of 465 and 100 is 5.
- Divide both the numerator and denominator by 5:
- \( \frac{465 \div 5}{100 \div 5} = \frac{93}{20} \)

3. Combine the whole number and the fraction:
- 4 can be written as \( \frac{80}{20} \) (since \( 4 = \frac{80}{20} \)).
- So, \( 4.65 \) can be expressed as:
\( 4 + \frac{13}{20} = \frac{80}{20} + \frac{13}{20} = \frac{93}{20} \).

So, the simplified form of 4.65 as a fraction is \( 4 \frac{13}{20} \).

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