Converting Fractions to Decimals

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

1. The decimal representation of a fraction is obtained by dividing the numerator by the denominator.
2. To convert 6 divided by 11 to a decimal, divide 6 by 11 using long division or a calculator.
3. The decimal representation of 6 divided by 11 is 0.545.
4. 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:

1. Divide 6 by 11 to get 0.545454…
2. 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.

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:

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