Repeating decimals

A repeating or recurring decimal is a way of representing rational numbers in base 10 arithmetic. The decimal representation of a number is said to be repeating if it becomes periodic (repeating its values at regular intervals) and the infinetely - repeated portion is not zero. The infinitely-repeated digit sequence is called the repeated or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros. Steps for solving: write as a geometric series, and lastly find the sum. The sum formula is s=a1/1-r.