0.069 Recurring as a Fraction
What is 0.069 recurring?
0.069 recurring is a decimal number that has a repeating pattern of digits. In this case, the digits "069" repeat indefinitely. This type of decimal is also known as a recurring decimal or repeating decimal.
Converting 0.069 recurring to a fraction
To convert 0.069 recurring to a fraction, we can use the following method:
Let x = 0.069069...
Multiply both sides by 1000 (since the repeating pattern has 3 digits)
1000x = 69.069069...
Subtract the original equation from the new equation
999x = 69
Divide both sides by 999
x = 69/999
Simplify the fraction
x = 23/333
Therefore, 0.069 recurring as a fraction is 23/333.
Conclusion
In conclusion, 0.069 recurring is a decimal number that can be converted to a fraction using a simple method. The resulting fraction is 23/333. This conversion is useful in various mathematical applications, particularly in algebra and arithmetic.
