Fractions can be converted to decimals by dividing the numerator by the denominator. For instance, to convert the fraction 6/11 to a decimal, we divide 6 by 11.

### Key Facts

- The decimal representation of a fraction is obtained by dividing the numerator by the denominator.
- To convert 6 divided by 11 to a decimal, divide 6 by 11 using long division or a calculator.
- The decimal representation of 6 divided by 11 is 0.545.
- When rounded to 3 decimal places, 6 divided by 11 is approximately 0.545.

## Long Division Method

The long division method can be used to divide 6 by 11. The process is as follows:

- Divide 6 by 11 to get 0.545454…
- The digits 5 and 4 repeat infinitely, so the decimal representation of 6/11 is 0.545.

## Rounding to 3 Decimal Places

When rounding 0.545 to 3 decimal places, the fourth decimal place (5) is examined. Since 5 is greater than or equal to 5, we round up the third decimal place (4) by 1. Therefore, 0.545 rounded to 3 decimal places is 0.545.

### Conclusion

In summary, the decimal representation of 6/11 is 0.545, and when rounded to 3 decimal places, it is approximately 0.545.

## References

- Find a decimal representation of 6/11 | Wyzant Ask An Expert (https://www.wyzant.com/resources/answers/841506/find-a-decimal-representation-of-6-11)
- What is 6/11 as a decimal? – ArgoPrep (https://argoprep.com/blog/what-is-6-11-as-a-decimal/)
- What is 6/11 as a decimal? | Thinkster Math (https://hellothinkster.com/math-questions/decimals/what-is-6-11-as-a-decimal)

## FAQs

### How do I convert a fraction to a decimal?

Answer: To convert a fraction to a decimal, divide the numerator by the denominator.

### What is the decimal representation of 6/11?

Answer: The decimal representation of 6/11 is 0.545454…

### How do I round a decimal to 3 decimal places?

Answer: To round a decimal to 3 decimal places, look at the fourth decimal place. If it is 5 or greater, round up the third decimal place by 1. If it is less than 5, leave the third decimal place unchanged.

### What is 6/11 rounded to 3 decimal places?

Answer: 6/11 rounded to 3 decimal places is 0.545.

### Can I use a calculator to convert a fraction to a decimal?

Answer: Yes, you can use a calculator to convert a fraction to a decimal. Simply divide the numerator by the denominator.

### What is another method for converting a fraction to a decimal?

Answer: Another method for converting a fraction to a decimal is to use long division.

### What is the difference between a terminating decimal and a repeating decimal?

Answer: A terminating decimal is a decimal that has a finite number of digits after the decimal point. A repeating decimal is a decimal that has a sequence of digits that repeats infinitely after the decimal point.

### How do I convert a repeating decimal to a fraction?

Answer: To convert a repeating decimal to a fraction, follow these steps:

- Let x be the repeating decimal.
- Multiply x by a power of 10 that is equal to the number of digits in the repeating block.
- Subtract x from the result of step 2.
- Solve the resulting equation for x.