.622 Repeating as a Fraction
What is .622 Repeating?
.622 repeating is a decimal number that has a repetitive sequence of digits. It is also known as a recurring decimal or a non-terminating decimal. The sequence of digits in .622 repeating is infinite, and it goes on forever without terminating.
Converting .622 Repeating to a Fraction
To convert .622 repeating to a fraction, we can use a few different methods. One way to do this is to use the following formula:
x = .622 (repeating)
Multiply both sides of the equation by 1000:
1000x = 622.622 (repeating)
Now, subtract the original equation from the new equation:
1000x - x = 622.622 - .622
This simplifies to:
999x = 622
Divide both sides by 999:
x = 622/999
So, .622 repeating as a fraction is 622/999.
Simplifying the Fraction
The fraction 622/999 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 622 and 999 is 1, so the fraction is already in its simplest form.
Conclusion
In conclusion, .622 repeating as a fraction is 622/999. This fraction represents the decimal number .622 repeating, which has an infinite sequence of digits that repeats forever.
