Convert to a Decimal 1/6

Problem

1/6

Solution

1. Set up the long division by dividing the numerator 1 by the denominator 6

2. Perform the first division step by noting that 6 goes into 10 one time with a remainder of 4

3. Continue the division by noting that 6 goes into 40 six times (6×6=36 with a remainder of 4

4. Observe that the remainder 4 repeats indefinitely, which means the digit 6 will repeat in the quotient.

5. Express the result as a repeating decimal using a bar over the repeating digit.

Final Answer

1/6=0.1*6

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