0.17 Repeating as a Fraction Calculator
What is 0.17 Repeating?
0.17 repeating, also known as 0.171717..., is a repeating decimal. It is a decimal that has a sequence of digits that repeats indefinitely. In this case, the sequence "17" repeats forever.
Converting 0.17 Repeating to a Fraction
To convert 0.17 repeating to a fraction, we can use a few different methods. One common method is to use the following formula:
x = 0.171717...
Multiply both sides by 100 to get:
100x = 17.1717...
Now, subtract the first equation from the second equation to get:
99x = 17
Divide both sides by 99 to get:
x = 17/99
So, 0.17 repeating as a fraction is 17/99.
How to Use a Calculator to Convert 0.17 Repeating to a Fraction
If you don't want to go through the process of converting 0.17 repeating to a fraction by hand, you can use a calculator. Many calculators have a function to convert repeating decimals to fractions.
Here's how to do it on a typical calculator:
- Enter 0.17 into the calculator
- Press the "recur" or "repeating" button (this button may be labeled differently depending on the calculator)
- Press the "frac" or "fraction" button
- The calculator will display the fraction: 17/99
Conclusion
Converting 0.17 repeating to a fraction is a simple process that can be done by hand or with a calculator. The result is a fraction: 17/99. Whether you're a student, teacher, or simply someone who likes to work with numbers, understanding how to convert repeating decimals to fractions is an important skill to have.
