0.14 Recurring as a Fraction
What is 0.14 Recurring?
0.14 recurring, also known as 0.1414..., is a decimal number that has a repeating pattern of 14. This pattern continues indefinitely, making it a recurring decimal.
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's assume that x = 0.1414....
Step 2: Multiply both sides by 100
Multiplying both sides of the equation by 100, we get:
100x = 14.1414...
Step 3: Subtract x from both sides
Subtracting x from both sides, we get:
99x = 14
Step 4: Divide by 99
Dividing both sides by 99, we get:
x = 14/99
Therefore, 0.14 recurring as a fraction is 14/99.
Simplifying the Fraction
We can simplify the fraction 14/99 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 14 and 99 is 1, so the fraction remains the same.
Conclusion
In conclusion, 0.14 recurring can be converted to a fraction, and its equivalent fraction is 14/99.
