Repeating Decimals

Repeating decimals is a way to find out the decimal numbers that infinitely last like .3333... or .1515... To accomplish this, you use the formula, a1/1-d. a1 = the first decimal place it goes up to as a fraction, so for .3333 a1 would be 3/10 because it's .3 which is 30/100 or 3/10. then d = the difference between the first and next digit. Since .3333 repeats after every decimal, d would be 1/10 since it goes downward by 1/10 each digit. The answer would be found after you multiply the reciprical of the bottom to the fraction at the numerator and in this case it would result in 3/9.