Converting 0.38888 to a Fraction
What is 0.38888 as a fraction?
The decimal number 0.38888 can be converted to a fraction by finding the equivalent ratio of integers. In this case, we can convert 0.38888 to a fraction by dividing the repeating decimal by a power of 10.
The Calculation
To convert 0.38888 to a fraction, we can divide the decimal by 10000, which is a power of 10:
$\frac{0.38888}{1} = \frac{38888}{10000}$
Next, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 38888 and 10000 is 8. Therefore, we can simplify the fraction as follows:
$\frac{38888}{10000} = \frac{4861}{1250}$
The Result
Therefore, 0.38888 as a fraction is equal to:
$\frac{4861}{1250}$
This is the simplest form of the fraction, where the numerator (4861) and the denominator (1250) are coprime (they have no common factors other than 1).
Conclusion
In conclusion, we have successfully converted the decimal number 0.38888 to a fraction, which is equal to 4861/1250. This fraction is in its simplest form, and it can be used in mathematical calculations and operations.
