Converting 0.005 to a Fraction
In this article, we will discuss how to convert the decimal number 0.005 to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 0.005 to a Fraction
To convert 0.005 to a fraction, we need to find the equivalent fraction that represents the same value. There are a few ways to do this, but one common method is to divide the decimal number by the power of 10 that corresponds to the number of decimal places.
In this case, 0.005 has three decimal places, so we can divide it by 10^3, which is equal to 1000.
Calculation
0.005 ÷ 1000 = 5/1000
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 5 and 1000 is 5, so we can divide both numbers by 5.
5 ÷ 5 = 1 1000 ÷ 5 = 200
So, the simplified fraction is:
1/200
Conclusion
In conclusion, the decimal number 0.005 is equivalent to the fraction 1/200. This is a simple and important concept in mathematics, and it is used in a wide range of applications, from basic arithmetic to advanced calculus and beyond.
