0.08333 Repeating as a Fraction
Have you ever wondered what the decimal 0.08333 repeating represents as a fraction? In this article, we'll explore the answer to this question and provide a step-by-step guide on how to convert this repeating decimal to a fraction.
What is 0.08333 Repeating?
0.08333 repeating is a decimal that has a repeating pattern of 3's. This pattern continues indefinitely, with the 3's repeating forever. This type of decimal is known as a repeating decimal or a recurring decimal.
Converting 0.08333 Repeating to a Fraction
To convert 0.08333 repeating to a fraction, we can use a simple method. Let's explain it step by step:
Step 1: Let x = 0.08333...
Let's say x = 0.08333... (where the 3's repeat indefinitely).
Step 2: Multiply Both Sides by 100
Multiply both sides of the equation by 100 to get:
100x = 8.333...
Step 3: Subtract the Original Equation
Now, subtract the original equation (x = 0.08333...) from the new equation (100x = 8.333...):
100x - x = 8.333... - 0.08333...
This simplifies to:
99x = 8.25
Step 4: Divide Both Sides by 99
Finally, divide both sides of the equation by 99 to get:
x = 8.25/99
x = 25/300
x = 1/12
The Answer
Therefore, 0.08333 repeating as a fraction is equal to 1/12.
Conclusion
In conclusion, 0.08333 repeating as a fraction is equal to 1/12. By using the simple steps outlined above, you can convert any repeating decimal to a fraction. Remember to multiply, subtract, and divide your way to the answer!
