0.1212 in Fraction Form
When dealing with repeating decimals, it can be helpful to convert them to fraction form. In this article, we will explore how to convert 0.1212 to a fraction.
Repeating Decimal Pattern
The decimal 0.1212 displays a repeating pattern of 12. This pattern will continue indefinitely, making it a repeating decimal.
Converting to Fraction Form
To convert 0.1212 to a fraction, we can use the following steps:
Step 1: Let x = 0.1212
Let x be equal to the repeating decimal 0.1212.
Step 2: Multiply by 100
Multiply both sides of the equation by 100 to get rid of the decimal places.
100x = 12.1212
Step 3: Subtract x
Subtract x from both sides of the equation to eliminate the repeating pattern.
99x = 12
Step 4: Solve for x
Divide both sides of the equation by 99 to solve for x.
x = 12/99
Step 5: Simplify
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3.
x = 4/33
Result
Therefore, 0.1212 in fraction form is 4/33.
By following these steps, we have successfully converted the repeating decimal 0.1212 to a fraction.
