0.0185 Repeating as a Fraction
Have you ever wondered how to convert a repeating decimal into a fraction? In this article, we'll explore how to convert 0.0185 repeating into a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely. For example, 0.12341234... is a repeating decimal because the sequence "1234" repeats indefinitely.
Converting 0.0185 Repeating into a Fraction
To convert 0.0185 repeating into a fraction, we can use the following steps:
Step 1: Let x = 0.0185
Let's let x equal 0.0185.
Step 2: Multiply x by 10000
Multiply x by 10000 to get rid of the repeating decimal.
10000x = 185.185185...
Step 3: Subtract x from 10000x
Subtract x from 10000x to get rid of the decimal part.
10000x - x = 185.185185... - 0.0185 9999x = 184.166665...
Step 4: Simplify the Fraction
Now, simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD).
x = 184/9999 x = 92/4995
Therefore, 0.0185 repeating can be converted into a fraction as 92/4995.
Conclusion
In this article, we've learned how to convert a repeating decimal into a fraction using the example of 0.0185 repeating. By following the steps outlined above, you can convert any repeating decimal into a fraction.
