0.14285 as a Fraction
What is 0.14285 as a Fraction?
The decimal number 0.14285 can be converted to a fraction. To do this, we need to find the equivalent fraction that has the same value as the decimal number.
Converting 0.14285 to a Fraction
To convert 0.14285 to a fraction, we can use the following steps:
- Divide by the denominator: Divide the decimal number by the denominator, which is 100,000 (since there are 5 decimal places).
- Find the gcd: Find the greatest common divisor (gcd) of the numerator and denominator.
- Simplify the fraction: Simplify the fraction by dividing both the numerator and denominator by the gcd.
Let's go through the steps:
Step 1: Divide by the denominator
0.14285 ÷ 100,000 = 14,285
Step 2: Find the gcd
The gcd of 14,285 and 100,000 is 5.
Step 3: Simplify the fraction
Divide both the numerator and denominator by 5:
(14,285 ÷ 5) / (100,000 ÷ 5) = 2,857 / 20,000
The Result
So, 0.14285 as a fraction is:
2857/20000
This is the simplest form of the fraction.
Conclusion
In conclusion, we have successfully converted the decimal number 0.14285 to a fraction, which is 2857/20000. This fraction can be used in various mathematical operations and applications.
