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

Question

Responses

4/65
Start Fraction 4 over 65 End Fraction

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

4 6/5
4 Start Fraction 6 over 5 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 into its whole number and decimal parts:

1. The whole number part is 4.
2. The decimal part is 0.65.

Now we convert 0.65 to a fraction:

0.65 can be written as \( \frac{65}{100} \).

Next, we simplify \( \frac{65}{100} \):

Both 65 and 100 can be divided by 5: \[ \frac{65 \div 5}{100 \div 5} = \frac{13}{20} \]

So, we can represent 4.65 as a mixed number: \[ 4.65 = 4 + 0.65 = 4 + \frac{13}{20} \]

In mixed number form, this is: \[ 4 \frac{13}{20} \]

Therefore, the fraction for 4.65 in simplest form is: 4 13/20 (4 Start Fraction 13 over 20 End Fraction).