0.19 Repeating as a Fraction
What is 0.19 Repeating?
0.19 repeating is a decimal number that has a repeating pattern of 19. It is a non-terminating, non-repeating decimal that goes on indefinitely in a repeating cycle. In other words, it is a decimal that has an infinite number of decimal places, and the pattern of 19 repeats forever.
Converting 0.19 Repeating to a Fraction
To convert 0.19 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.19 Repeating
Let's assume that x = 0.19 repeating.
Step 2: Multiply Both Sides by 100
Multiply both sides of the equation by 100 to get:
100x = 19.19 repeating
Step 3: Subtract x from Both Sides
Subtract x from both sides of the equation to get:
99x = 19
Step 4: Divide Both Sides by 99
Divide both sides of the equation by 99 to get:
x = 19/99
Result
Therefore, 0.19 repeating as a fraction is equal to 19/99.
Simplifying the Fraction
We can simplify the fraction 19/99 by dividing both the numerator and the denominator by their greatest common divisor, which is 1.
Result
The simplified fraction is still 19/99.
Conclusion
In conclusion, 0.19 repeating as a fraction is equal to 19/99. This fraction can be simplified, but the result is still 19/99.
