.66667 as a Fraction
What is .66667 as a Fraction?
.66667 is a repeating decimal number that can be converted into a fraction. To do this, we need to find the equivalent fraction that has the same value as the given decimal number.
Convert .66667 to a Fraction
To convert .66667 to a fraction, we can use the following steps:
- Let x = .66667
- Multiply both sides by 100,000 to eliminate the decimal points
- 100,000x = 66,667
- Divide both sides by the greatest common divisor (GCD) of 100,000 and 66,667
- The GCD of 100,000 and 66,667 is 1, so we divide both sides by 1
- x = 66,667/100,000
- Simplify the fraction
- x = 2/3
Therefore, .66667 as a Fraction is 2/3
The decimal number .66667 is equivalent to the fraction 2/3. This fraction can be used in various mathematical operations, and it's a more concise and intuitive way to represent the given decimal number.
Why is .66667 Important?
.66667 is an important number in mathematics, particularly in the context of repeating decimals. It's a common example used to illustrate the concept of converting repeating decimals to fractions. Additionally, this number is often used in real-world applications, such as finance, engineering, and science, where precise calculations are crucial.
In conclusion, .66667 as a fraction is 2/3, and understanding how to convert repeating decimals to fractions is an essential skill in mathematics.
