Simplifying 0.08333 as a Fraction
What is 0.08333 as a Fraction?
The decimal number 0.08333 can be written as a fraction in its simplest form. In this article, we will explore how to convert 0.08333 into a fraction and simplify it.
Converting 0.08333 to a Fraction
To convert 0.08333 to a fraction, we can use the following steps:
- Write the decimal number as a fraction with a denominator of 100000 (since there are 5 decimal places):
0.08333 = 8333/100000
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Finding the Greatest Common Divisor (GCD)
To find the GCD of 8333 and 100000, we can use the following steps:
- List the factors of 8333: 1, 7, 1193, 8333
- List the factors of 100000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 250, 500, 1000, 2000, 2500, 5000, 10000, 20000, 50000, 100000
- Identify the common factors: 1
- The GCD is 1, since there is no common factor other than 1.
Simplifying the Fraction
Since the GCD is 1, we cannot simplify the fraction further:
0.08333 = 8333/100000
So, the simplest form of 0.08333 as a fraction is 8333/100000.
Conclusion
In this article, we have successfully converted 0.08333 into a fraction and simplified it to its simplest form. The simplified fraction is 8333/100000.
