Can 0.43721... be written as a fraction? and what kind of decimal is it
Yes, 0.43721... can be written as a fraction. To determine the fraction, let x = 0.43721..., then multiplying both sides by 10000 to eliminate the decimal gives 10000x = 4372.1..., Subtracting the original equation from this new equation gives 9999x = 4372, and dividing both sides by 9999 results in x = 4372/9999.
Thus, 0.43721... can be written as the fraction 4372/9999.
It is a repeating decimal, specifically a non-terminating, recurring decimal.