.02 Repeating as a Fraction
Have you ever wondered how to convert a repeating decimal like .02 into a fraction? If so, this article is for you.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely. For example, .02 is a repeating decimal because it can be written as .020202... where the sequence "02" repeats forever.
Converting .02 Repeating to a Fraction
To convert .02 repeating to a fraction, we can use a simple trick. First, let's assume that .02 repeating is equal to x. Then, we can multiply both sides of the equation by 100 to get:
100x = 2.02
Next, we can subtract x from both sides of the equation to get:
99x = 2
Finally, we can divide both sides of the equation by 99 to solve for x:
x = 2/99
So, .02 repeating is equal to the fraction 2/99.
Conclusion
Converting a repeating decimal like .02 to a fraction may seem daunting at first, but with a little algebra, it's a breeze. By multiplying by a power of 10 and then solving for x, we can convert any repeating decimal to a fraction. In this case, we found that .02 repeating is equal to the fraction 2/99.
