0.19 Repeating as a Fraction
What is 0.19 Repeating?
0.19 repeating, also known as 0.19~, is a decimal number that has a repeating pattern of 19. This means that the sequence of digits "19" is repeated indefinitely: 0.19191919... .
Converting 0.19 Repeating to a Fraction
To convert 0.19 repeating to a fraction, we can use a few different methods. One way is to use the formula:
x = 0.19~
Multiply both sides by 100 to get:
100x = 19.19~
Subtract x from both sides to get:
99x = 19
Divide both sides by 99 to get:
x = 19/99
So, 0.19 repeating as a fraction is 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 (GCD). The GCD of 19 and 99 is 1, so the fraction remains the same:
19/99
Conclusion
In conclusion, 0.19 repeating is equal to the fraction 19/99. This fraction can be used in mathematical calculations and conversions, and is equivalent to the decimal 0.19 repeating.
