What is 0.4615384615 as a improper fraction?

Answer 1

To convert the decimal 0.4615384615 to an improper fraction, we first note that this is a repeating decimal with the repeating pattern 461538. To convert this to a fraction, we can set x = 0.4615384615 and multiply by a power of 10 to shift the decimal point: 1000000x = 461538.4615. Subtracting the original equation from this new one gives 999999x = 461538, so x = 461538/999999. This fraction can be simplified by finding the greatest common divisor of 461538 and 999999, which is 3, resulting in the improper fraction 153846/333333.