0.01333 Repeating as a Fraction
Have you ever wondered how to convert a repeating decimal into a fraction? In this article, we will explore how to convert 0.01333 repeating 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 0.01333, the sequence "3" repeats indefinitely.
Converting 0.01333 Repeating into a Fraction
To convert 0.01333 repeating into a fraction, we can use the following steps:
Step 1: Let x = 0.01333
Let's start by letting x equal to 0.01333.
Step 2: Multiply x by 100
Next, we multiply x by 100 to get:
100x = 1.3333
Step 3: Subtract x from 100x
Now, we subtract x from 100x to get:
99x = 1.32
Step 4: Divide by 99
Finally, we divide both sides of the equation by 99 to get:
x = 1.32/99
x = 4/297
Therefore, 0.01333 repeating as a fraction is equal to 4/297.
Conclusion
In conclusion, we have successfully converted 0.01333 repeating into a fraction, which is equal to 4/297. This process can be applied to any repeating decimal to convert it into a fraction.
