Simplifying 0.005 into a Fraction
In this article, we will explore how to simplify the decimal number 0.005 into a fraction.
Converting 0.005 to a Fraction
To convert 0.005 to a fraction, we can start by dividing the number by 10 to the power of the number of decimal places. In this case, we have 3 decimal places, so we will divide 0.005 by 10^3.
0.005 ÷ 10^3 = 5 ÷ 1000
Simplifying the Fraction
The resulting fraction is 5/1000. However, this fraction can be further simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 5 and 1000 is 5. Therefore, we can divide both numbers by 5 to get:
5 ÷ 5 = 1 1000 ÷ 5 = 200
So, the simplified fraction is:
1/200
Conclusion
In conclusion, the simplified fraction of 0.005 is 1/200. This fraction is in its simplest form, and it is equivalent to the original decimal number 0.005.
