0.166 as a Fraction
In this article, we will discuss how to convert the decimal number 0.166 to a fraction.
Converting 0.166 to a Fraction
To convert 0.166 to a fraction, we can use the following steps:
- Divide by 1000: Since 0.166 has three decimal places, we can divide it by 1000 to get rid of the decimals.
0.166 ÷ 1000 = 166
- Find the Greatest Common Divisor (GCD): The next step is to find the GCD of 166 and 1000.
GCD(166, 1000) = 2
- Simplify the Fraction: Now, we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
166 ÷ 2 = 83 1000 ÷ 2 = 500
So, the simplified fraction is:
83/500
Therefore, 0.166 as a fraction is equivalent to 83/500.
Conclusion
In conclusion, converting 0.166 to a fraction involves dividing the number by 1000, finding the GCD, and simplifying the fraction. The result is a simplified fraction of 83/500, which is the equivalent of 0.166.
