Question

0.462 can be written as a fraction and why?

Answer 1

what kind of decimal would it be

Answer 2

Yes, 0.462 can be written as a fraction. To convert a decimal to a fraction, you simply need to place the decimal number over a power of 10. In this case, 0.462 can be written as 462/1000 since the decimal point is three places to the right. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor (GCD), which in this case is 154. Dividing both 462 and 1000 by 154 gives 3/6 when both are divided by 154. Simplifying further, we can divide both the numerator and denominator of 3/6 by their GCD (which is 3) to ultimately obtain the simplest fraction form: 1/2. Therefore, 0.462 can be simplified to the fraction 1/2.

Answer 3

0.462 is a terminating decimal because it has a finite number of decimal places.