0.12323 Repeating as a Fraction
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely. For example, 0.12323 is a repeating decimal because the sequence "123" repeats indefinitely.
Converting 0.12323 to a Fraction
To convert 0.12323 to a fraction, we can use the following steps:
Step 1: Let x = 0.12323
Let's start by letting x = 0.12323.
Step 2: Multiply x by 10000
Multiplying x by 10000 gives us:
10000x = 1232.32323
Step 3: Subtract x from 10000x
Subtracting x from 10000x gives us:
9999x = 1232.2
Step 4: Simplify the Equation
Simplifying the equation gives us:
x = 1232.2/9999
Step 5: Simplify the Fraction
Simplifying the fraction gives us:
x = 412/3339
Therefore, 0.12323 repeating is equal to the fraction 412/3339.
Conclusion
In this article, we learned how to convert the repeating decimal 0.12323 to a fraction. We used a series of steps to convert the decimal to a fraction, and finally simplified the fraction to get the answer 412/3339.
