0.83 Repeating as a Fraction
Introduction
The decimal number 0.83 repeating is a fascinating topic in mathematics. In this article, we will explore how to convert this repeating decimal into a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely. In the case of 0.83 repeating, the digits "83" repeat forever.
Converting 0.83 Repeating to a Fraction
To convert 0.83 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.83 Repeating
Let's start by letting x be equal to 0.83 repeating.
Step 2: Multiply x by 100
Now, let's multiply x by 100 to get:
100x = 83.83 repeating
Step 3: Subtract x from 100x
Subtract x from 100x to get:
99x = 83
Step 4: Divide by 99
Divide both sides of the equation by 99 to get:
x = 83/99
Result
Therefore, 0.83 repeating as a fraction is equal to:
83/99
This fraction is the equivalent of the repeating decimal 0.83. By using this method, we can convert any repeating decimal into a fraction.
Conclusion
In conclusion, we have successfully converted 0.83 repeating into a fraction, which is equal to 83/99. This method can be applied to any repeating decimal, making it a valuable tool in mathematics.
