Question 1132164
the fraction in decimal form is .003888888888...... (the 8 repeats endlessly).


let n = the number.


therefore, n= .03888888888........


multiply n by 10,000 to get 10,000 * n = 38.888888888.....


multiply n by 1,000 to get 1,000 * n = 3.88888888......


subtract 1,000 * n from 10,000 * n to get 9,000 * n = 35


divide both sides of this equation by 9,000 to get n = 35 / 9,000


divide numerator and denominator by 5 to get n = 7 / 1800.


that's your fraction in simplified form.


the sum of the simplified numerator and the denominator is 1807.


you can confirm by dividing 7 by 1800 in your calculator.


the answer will be .00388888888.....