.16666 Repeating as a Fraction
The repeating decimal .16666 is a common occurrence in mathematics, and it can be converted into a fraction. In this article, we will explore how to convert .16666 repeating into a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal that has a sequence of digits that repeats infinitely. In the case of .16666, the sequence of digits "6" repeats indefinitely. Repeating decimals can be converted into fractions, which is a more concise and elegant way to represent the number.
Converting .16666 Repeating into a Fraction
To convert .16666 repeating into a fraction, we can use the following method:
Let x = .16666
Multiply both sides by 100 to get rid of the decimal point:
100x = 16.6666
Subtract x from both sides to get:
99x = 16.5
Divide both sides by 99 to get:
x = 16.5/99
x = 1/6
So, .16666 repeating is equal to the fraction 1/6.
Conclusion
In conclusion, the repeating decimal .16666 can be converted into the fraction 1/6. This conversion is useful in various mathematical applications, and it provides a more concise and elegant way to represent the number.
