0.015 Repeating as a Fraction
Introduction
Have you ever wondered how to convert a repeating decimal into a fraction? In this article, we will explore how to convert 0.015 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, 0.015 is a repeating decimal because the sequence "015" repeats indefinitely.
Converting 0.015 Repeating into a Fraction
To convert 0.015 repeating into a fraction, we can use the following steps:
Step 1: Let x = 0.015
Let's start by letting x = 0.015.
Step 2: Multiply Both Sides by 1000
Since the repeating sequence "015" has three digits, we multiply both sides of the equation by 1000 to get:
1000x = 15.015
Step 3: Subtract x from Both Sides
Subtract x from both sides of the equation to get:
999x = 15
Step 4: Divide Both Sides by 999
Divide both sides of the equation by 999 to get:
x = 15/999
Step 5: Simplify the Fraction
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
x = 5/333
Therefore, 0.015 repeating as a fraction is 5/333.
Conclusion
In this article, we have shown how to convert 0.015 repeating into a fraction using simple algebraic steps. By following these steps, you can convert any repeating decimal into a fraction.
