Convert to a Decimal 5/6

Problem

5/6

Solution

1. Identify the fraction as a division problem where the numerator 5 is divided by the denominator 6

2. Perform long division by placing a decimal point and adding zeros to the dividend 5

3. Divide 50 by 6 which goes 8 times (48 with a remainder of 2

4. Divide 20 by 6 which goes 3 times (18 with a remainder of 2

5. Observe that the remainder 2 repeats, indicating that the digit 3 will repeat infinitely in the quotient.

6. Represent the repeating decimal using a bar over the repeating digit.

Final Answer

5/6=0.8*3

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