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

Question

Responses

465
4
65
Start Fraction 4 over 65 End Fraction

465
4
6
5
4 Start Fraction 6 over 5 End Fraction

41320
4
13
20
4 Start Fraction 13 over 20 End Fraction

465100

Answer 1

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

1. Write the decimal as a fraction: \[ 4.65 = \frac{465}{100} \] This is because the decimal 4.65 has two decimal places, which means we are dividing by 100.

2. Simplify the fraction \(\frac{465}{100}\):

   • Find the greatest common divisor (GCD) of 465 and 100. The GCD of 465 and 100 is 5.

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

4. The simplest form of the fraction for 4.65 is \(\frac{93}{20}\).

None of the options given match the correct conversion of 4.65 to a fraction. If you have to choose the closest and it appears there is an error, please note that the fraction in simplest form is indeed \(\frac{93}{20}\).