0.08333 Recurring as a Fraction
What is 0.08333 recurring?
0.08333 recurring is a decimal number that has an infinite sequence of digits, where the digits 3 repeat indefinitely. This type of decimal is called a recurring decimal or a repeating decimal.
Converting 0.08333 recurring to a fraction
To convert 0.08333 recurring to a fraction, we can use the following steps:
Step 1: Let x = 0.08333 recurring
Let x = 0.08333...
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get:
100x = 8.333...
Step 3: Subtract x from 100x
Subtract x from both sides of the equation to get:
99x = 8.25
Step 4: Divide by 99
Divide both sides of the equation by 99 to get:
x = 8.25/99
x = 25/300
x = 1/12
Therefore, 0.08333 recurring as a fraction is 1/12.
Conclusion
In this article, we have successfully converted 0.08333 recurring to a fraction, which is 1/12. This conversion is useful in various mathematical applications, such as algebra, geometry, and calculus. Understanding how to convert recurring decimals to fractions is an important skill in mathematics.
