0.034 as a Fraction in Simplest Form
In this article, we will explore how to convert the decimal number 0.034 into a fraction in its simplest form.
What is a Fraction?
A fraction is a way to represent a part of a whole as a ratio of two integers, often written in the form a/b, where a is the numerator and b is the denominator.
Converting 0.034 to a Fraction
To convert the decimal number 0.034 to a fraction, we can divide the number by a power of 10, which is the denominator. In this case, we can divide 0.034 by 1000, which gives us:
0.034 ÷ 1000 = 34/1000
Simplifying the Fraction
The resulting fraction 34/1000 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 34 and 1000 is 2. Therefore, we can simplify the fraction as follows:
34 ÷ 2 = 17 1000 ÷ 2 = 500
Simplest Form
The simplified fraction of 0.034 is:
17/500
This is the simplest form of the fraction, where the numerator and denominator have no common factors other than 1.
Conclusion
In conclusion, we have successfully converted the decimal number 0.034 to a fraction in its simplest form, which is 17/500. This representation is useful in various mathematical operations and applications.
