0.08333 as a Fraction in Simplest Form
What is 0.08333 as a Fraction?
The decimal number 0.08333 can be converted to a fraction in a few simple steps. To do this, we need to find the equivalent fraction that has the same value as the given decimal.
Conversion to a Fraction
To convert 0.08333 to a fraction, we can use the following steps:
- Divide the decimal number by a power of 10 (in this case, 10^4 = 10,000) to get a whole number:
0.08333 × 10,000 = 833.33
- Find the greatest common divisor (GCD) of the numerator (833.33) and the denominator (10,000). In this case, the GCD is 1, since both numbers are coprime.
GCD(833.33, 10,000) = 1
- Simplify the fraction by dividing both the numerator and the denominator by the GCD:
833.33 ÷ 1 = 833.33
10,000 ÷ 1 = 10,000
So, the simplified fraction equivalent to 0.08333 is:
Simplest Form: 250/3,000
The simplest form of the fraction is:
250/3,000
This can be further simplified by dividing both numerator and denominator by their greatest common divisor, which is 25:
250 ÷ 25 = 10 3,000 ÷ 25 = 120
So, the final simplest form of 0.08333 as a fraction is:
Simplest Form: 1/12 or 10/120
In conclusion, the decimal number 0.08333 can be converted to a fraction in its simplest form as:
1/12 or 10/120
Both of these fractions have the same value as the original decimal number.
