What is 6/7 as a decimal?
Understand the Problem
The question is asking to convert the fraction 6/7 into its decimal form, which involves performing division.
Answer
0.857142857142...
Answer for screen readers
The final answer is 0.857142857142...
Steps to Solve
- Set up the division problem
Set up the division of 6 by 7 as a long division problem. This means you are finding out how many times 7 goes into 6.
- Perform the division
Since 7 does not go into 6, you write 0 and add a decimal point, making it 6.0 and then 60, 600, and so on, until the decimal repeats or terminates (hint: it repeats).
$$6 \div 7 = 0.857142857142...$$
- Identify repeating patterns
Notice that the digits 857142 start repeating after the decimal point. This demonstrates that (\frac{6}{7}) as a decimal is a repeating decimal.
$$\frac{6}{7} = 0.\overline{857142}$$
The final answer is 0.857142857142...
More Information
Repeating decimals are those decimal numbers in which digits repeat forever. In this case, 6 divided by 7 gives a repeating series of digits '857142'.
Tips
A common mistake is to stop dividing too early and not recognizing the repeating pattern. Always continue until you see a repetition.
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