0.015 as a Fraction
In this article, we will explore how to convert the decimal number 0.015 to a fraction.
What is a Fraction?
A fraction is a way to represent a part of a whole as a ratio of two integers, a numerator, and a denominator. It is written in the form a/b, where a is the numerator and b is the denominator.
Converting 0.015 to a Fraction
To convert 0.015 to a fraction, we need to divide the decimal number by a power of 10, which is the denominator. In this case, we can divide 0.015 by 1000, which gives us:
0.015 ÷ 1000 = 15/1000
Simplifying the Fraction
The fraction 15/1000 can be simplified further by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 15 and 1000 is 5, so we can simplify the fraction as follows:
15 ÷ 5 = 3 1000 ÷ 5 = 200
So, the simplified fraction is:
3/200
Therefore, the decimal number 0.015 is equivalent to the fraction 3/200.
Conclusion
In conclusion, converting a decimal number to a fraction is a simple process that involves dividing the decimal number by a power of 10 and then simplifying the resulting fraction. In this case, we were able to convert 0.015 to the fraction 3/200.