What is 4.65 converted to a fraction? The answer should be given in simplest form.
4/65
4 65/100
4 6/5
4 13/20
The correct answer is 4 13/20.
To convert 4.65 to a fraction, we separate the whole number and the decimal part. The whole number is 4 and the decimal part is 0.65.
To convert the decimal part to a fraction, we count the decimal places. In this case, there are two decimal places. We write the decimal part over 100, with a numerator of 65. So, the decimal part 0.65 can be expressed as 65/100.
Therefore, 4.65 can be written as 4 and 65/100. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 5.
When we simplify 65/100 by dividing both the numerator and denominator by 5, we get 13/20.
So, 4.65 is equivalent to 4 13/20 as a fraction in simplest form.