0.017 as a Fraction in Simplest Form
In this article, we will explore how to convert the decimal number 0.017 into a fraction in its simplest form.
Converting 0.017 to a Fraction
To convert a decimal number to a fraction, we need to divide the decimal part by the place value of the last digit. In this case, the decimal part is 0.017, and the last digit is in the thousandths place, which has a place value of 1000.
So, we can convert 0.017 to a fraction by dividing it by 1000:
0.017 = 17/1000
Simplifying the Fraction
The fraction 17/1000 is not in its simplest form. We can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 17 and 1000 is 1, which means that the fraction is already in its simplest form.
Simplest Form of 0.017
Therefore, the simplest form of the decimal number 0.017 is:
17/1000
This fraction represents the same value as the original decimal number, but it is expressed in a more compact and elegant form.
Conclusion
In this article, we have successfully converted the decimal number 0.017 into a fraction in its simplest form, which is 17/1000. This process can be applied to any decimal number to convert it into a fraction in its simplest form.
