What is 5/6 in decimal form?
Understand the Problem
The question is asking for the decimal representation of the fraction 5/6. To solve this, we will divide the numerator (5) by the denominator (6).
Answer
0.8333... (with the 3 repeating)
Answer for screen readers
The final answer is 0.8333... with the 3 repeating
Steps to Solve
- Set up the division
We need to divide the numerator by the denominator: $$ 5 \div 6 $$
- Perform the division
When dividing 5 by 6, we recognize that 5 is less than 6 and thus will generate a decimal:
Set up the long division of 5 by 6:
$$ 6 \overline{\smash{\big)\kern{-0.3em}5.000}} $$
Since 5 is less than 6, we place a 0 before the decimal point. Then, we see how many times 6 can go into 50:
$$ 50 \div 6 = 8.333... $$
The quotient is 0.83333...
- Interpret the repeating decimal
Thus, 5 divided by 6 is equivalent to 0.8333... where the 3 repeats indefinitely. This can be written as: $$ 5 \div 6 = 0.\overline{83} $$
The final answer is 0.8333... with the 3 repeating
More Information
The decimal representation of 5/6 is a repeating decimal. Repeating decimals like this one are common with fractions whose denominators have prime factors other than 2 or 5.
Tips
Common mistakes include misplacing the decimal point or stopping the division too soon. Remember to carry through the division until you recognize the repeating pattern.
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