0.1667 as a Fraction Calculator
What is 0.1667 as a Fraction?
The decimal number 0.1667 can be converted to a fraction. A fraction is a way to express a value as a ratio of two integers, a numerator and a denominator. To convert 0.1667 to a fraction, we can use the following steps:
Step 1: Divide the numerator by the denominator
To convert 0.1667 to a fraction, we need to find the numerator and the denominator. We can do this by dividing the numerator (1) by the denominator (6).
Result
0.1667 = 1/6
Simplified Fraction
The fraction 1/6 can be simplified further by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 1 and 6 is 1, so the simplified fraction is:
0.1667 = 1/6
Recurring Decimal to Fraction
0.1667 is a recurring decimal, which means it has an infinite number of repeating digits. To convert a recurring decimal to a fraction, we can use the following formula:
x = recurring decimal 10^x - 1 = numerator 10^x = denominator
In this case, x = 0.1667. Plugging in the value, we get:
10^0.1667 - 1 = numerator 10^0.1667 = denominator
Simplifying the equation, we get:
0.1667 = 1/6
Using a Fraction Calculator
If you want to convert a decimal to a fraction quickly and easily, you can use an online fraction calculator. A fraction calculator can simplify fractions, convert decimals to fractions, and perform other fraction operations.
Conclusion
In conclusion, 0.1667 can be converted to a fraction using the steps outlined above. The result is 1/6, which is a simplified fraction. You can use an online fraction calculator to convert decimals to fractions quickly and easily.
