0.14 Recurring as a Fraction
What is 0.14 Recurring?
0.14 recurring, also known as 0.1414..., is a non-terminating decimal that repeats in a cycle. It is a decimal that has an infinite number of digits, but the sequence of digits repeats continuously.
Converting 0.14 Recurring to a Fraction
To convert 0.14 recurring to a fraction, we can use the following steps:
Step 1: Let x = 0.1414...
Let x = 0.1414...
Step 2: Multiply both sides by 100
Multiply both sides of the equation by 100 to get:
100x = 14.1414...
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
99x = 14
Step 4: Divide both sides by 99
Divide both sides of the equation by 99 to get:
x = 14/99
Result
Therefore, 0.14 recurring as a fraction is 14/99.
Conclusion
In conclusion, we have successfully converted 0.14 recurring to a fraction, which is 14/99. This fraction can be simplified further if possible, but 14/99 is the exact equivalent of 0.1414...
