0.006 as a Fraction in Simplest Form
Converting decimals to fractions is an essential skill in mathematics, and in this article, we will explore how to convert 0.006 to a fraction in its simplest form.
Step 1: Convert 0.006 to a Fraction
To convert a decimal to a fraction, we can use the following formula:
Decimal = Numerator / Denominator
In this case, our decimal is 0.006. To convert it to a fraction, we can divide 0.006 by 1, like this:
0.006 = 6/1000
Step 2: Simplify the Fraction
The fraction 6/1000 is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of 6 and 1000.
The factors of 6 are: 1, 2, 3, 6
The factors of 1000 are: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
The GCD of 6 and 1000 is 2. Therefore, we can divide both the numerator and the denominator by 2 to simplify the fraction:
6 ÷ 2 = 3 1000 ÷ 2 = 500
So, the simplified fraction is:
0.006 = 3/500
Conclusion
In conclusion, 0.006 can be converted to a fraction in its simplest form as 3/500. This can be achieved by dividing the decimal by 1, converting it to a fraction, and then simplifying it by finding the greatest common divisor of the numerator and the denominator.
