0.1515 Repeating as a Fraction
0.1515 repeating is a decimal number that has a repeating pattern of digits. In this article, we will explore how to convert 0.1515 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, 0.12341234... is a repeating decimal because the sequence "1234" repeats indefinitely.
Converting 0.1515 Repeating as a Fraction
To convert 0.1515 repeating as a fraction, we can use the following steps:
Step 1: Let x = 0.1515
Let's start by letting x = 0.1515.
Step 2: Multiply x by 100
Next, we multiply x by 100 to get:
100x = 15.1515
Step 3: Subtract x from 100x
Now, we subtract x from 100x to get:
99x = 15
Step 4: Divide by 99
Finally, we divide both sides by 99 to get:
x = 15/99
Step 5: Simplify the Fraction
We can simplify the fraction 15/99 by dividing both the numerator and the denominator by their greatest common divisor, which is 3. This gives us:
x = 5/33
Therefore, 0.1515 repeating as a fraction is 5/33.
Conclusion
In this article, we have shown how to convert 0.1515 repeating as a fraction using a simple four-step process. The result is a fraction in its simplest form, which is 5/33.
