0.083 83 Repeating as a Fraction
What is 0.083 83 Repeating?
0.083 83 repeating is a decimal number that has a repeating pattern of digits. In this case, the digits "83" repeat indefinitely. This type of decimal is also known as a recurring decimal or a repeating decimal.
Converting 0.083 83 Repeating to a Fraction
To convert 0.083 83 repeating to a fraction, we can use a few different methods. One way to do this is to use the following formula:
x = 0.083 83...
Multiply both sides of the equation by 100:
100x = 8.383...
Now, multiply both sides of the equation by 100 again:
10,000x = 833.83...
Subtract the first equation from the third equation:
9,900x = 825.50
Divide both sides of the equation by 9,900:
x = 825.50 / 9,900
x = 83 / 1000
So, 0.083 83 repeating as a fraction is equal to:
83/1000
Simplifying the Fraction
We can simplify the fraction 83/1000 by dividing both the numerator and the denominator by their greatest common divisor, which is 1. Therefore, the simplified fraction is:
83/1000
This is the simplest form of the fraction.
Conclusion
In conclusion, 0.083 83 repeating as a fraction is equal to 83/1000. This fraction can be simplified to its simplest form, which is still 83/1000.
