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

Question

Responses

4 13/20

4/65

4 65/100

4 6/5

Answer 1

To convert 4.65 to a fraction, first separate the whole number from the decimal:

4.65 = 4 + 0.65

Next, convert the decimal 0.65 into a fraction.

0.65 can be written as:

0.65 = 65/100

Now, simplify 65/100. Both the numerator and denominator can be divided by 5:

65 ÷ 5 = 13
100 ÷ 5 = 20

So, 0.65 = 13/20.

Now, we can combine this with the whole number:

4 + 0.65 = 4 + 13/20 = 4 13/20.

Thus, the simplest form of 4.65 as a fraction is:

4 13/20.