Problem

Write the fraction as a decimal. For repeating decimals, write the answer by first using b...

Write the fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. See Example.

EXAMPLE 6 Writing Fractions as Decimals
Write each fraction as a decimal.
(a)
(b)
Because the remainder in the division in part (a) is 0, this quotient is a terminating decimal. The remainder in the division in part (b) is never 0. Because a number, in this case 2, is always left after the subtraction, this quotient is a repeating decimal. A convenient notation for a repeating decimal is a bar over the digit (or digits) that repeats.
We often round repeating decimals to as many places as needed.