0.16 Repeating as a Fraction Calculator
Are you having trouble converting the decimal number 0.16 repeating to a fraction? You're not alone! Many people struggle with converting repeating decimals to fractions, but with the right tool, it's a breeze. In this article, we'll explore how to convert 0.16 repeating to a fraction using a calculator.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeat indefinitely. For example, 0.16 repeating is a repeating decimal because the digits "16" repeat indefinitely: 0.1616161616...
Converting 0.16 Repeating to a Fraction
To convert 0.16 repeating to a fraction, we can use a calculator. Here's how:
Method 1: Using a Repeating Decimal to Fraction Calculator
There are many online calculators that can convert repeating decimals to fractions. Simply enter the repeating decimal, 0.16, and the calculator will do the work for you. The result is:
0.16 repeating = 4/25
Method 2: Using a Formula
If you prefer to do it yourself, you can use the following formula:
x = the repeating decimal (0.16) n = the number of digits in the repeating sequence (2) Fraction = x / (10^n - 1)
Plugging in the values, we get:
Fraction = 0.16 / (10^2 - 1) Fraction = 0.16 / 99 Fraction = 4/25
Conclusion
Converting 0.16 repeating to a fraction is easy with the right tools. Whether you use a calculator or a formula, the result is the same: 4/25. Remember, repeating decimals can be converted to fractions, and with practice, you'll become a pro at it!
