Converting 0.16666 to a Fraction
When dealing with decimals, it's often helpful to convert them to fractions to simplify mathematical operations or to better understand the value. In this article, we'll explore how to convert the decimal 0.16666 to a fraction.
The Conversion Process
To convert a decimal to a fraction, we need to find the equivalent ratio of integers. One way to do this is by dividing the decimal by the power of 10 that corresponds to the number of decimal places.
In the case of 0.16666, we have 5 decimal places, so we'll divide by 10^5, or 100,000.
The Result
0.16666 ÷ 100,000 = 16666 ÷ 100000
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 16666 and 100000 is 2. So, we'll divide both numbers by 2:
16666 ÷ 2 = 8333 100000 ÷ 2 = 50000
Now, we have:
8333 ÷ 50000 = 1/6
The Final Answer
The decimal 0.16666 is equivalent to the fraction 1/6.
I hope this helps! Let me know if you have any questions or need further assistance.
