0.17 Repeating Decimal to Fraction
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely. In the case of 0.17, the sequence of digits "17" repeats indefinitely, making it a repeating decimal.
Converting 0.17 to a Fraction
To convert 0.17 to a fraction, we can use the following steps:
Step 1: Let x = 0.17
Step 2: Multiply both sides by 100 to eliminate the decimal point:
100x = 17.17
Step 3: Subtract x from both sides to eliminate the repeating decimal:
100x - x = 17.17 - 0.17
Step 4: Simplify the equation:
99x = 17
Step 5: Divide both sides by 99 to solve for x:
x = 17/99
Step 6: Write the fraction in its simplest form:
x = 17/99
Therefore, the fraction equivalent to the repeating decimal 0.17 is 17/99.
Conclusion
In this article, we've successfully converted the repeating decimal 0.17 to a fraction. By following the steps outlined above, you can now easily convert other repeating decimals to fractions.
