Overline 2 as a Fraction
In mathematics, an overline above a number indicates that the number is being repeated indefinitely. For example, $\bar{2}$ means 2 is being repeated indefinitely, resulting in a non-terminating decimal representation.
What is Overline 2?
$\bar{2}$ is a repeating decimal that can be written as 0.222222... where the 2 is repeated indefinitely.
Converting Overline 2 to a Fraction
To convert $\bar{2}$ to a fraction, we can use the following steps:
Step 1: Let x = 0.222...
Let x = 0.222...
Step 2: Multiply both sides by 10
Multiply both sides of the equation by 10 to get:
10x = 2.222...
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
9x = 2
Step 4: Divide both sides by 9
Divide both sides of the equation by 9 to get:
x = 2/9
Therefore, $\bar{2}$ can be written as a fraction as:
2/9
This is the equivalent fraction of the overline 2.
Conclusion
In conclusion, the overline 2 can be converted to a fraction by using simple algebraic manipulations. The fraction equivalent of the overline 2 is 2/9. This knowledge can be useful in various mathematical applications, such as algebra, geometry, and calculus.
