0.6667 as a Simplified Fraction
What is 0.6667?
0.6667 is a recurring decimal that can be found in many mathematical operations. It is a non-terminating decimal that goes on indefinitely in a repeating pattern. However, it can be simplified into a fraction, which is a more convenient and intuitive way to express the value.
Simplifying 0.6667
To simplify 0.6667, we can convert it into a fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The numerator is 6667 and the denominator is 10000.
Step 1: Find the GCD of 6667 and 10000
The GCD of 6667 and 10000 is 1, since they do not have any common factors.
Step 2: Divide both the numerator and the denominator by the GCD
Divide 6667 by 1 to get 6667, and divide 10000 by 1 to get 10000.
Step 3: Simplify the fraction
The simplified fraction is:
2/3
Therefore, 0.6667 can be simplified to 2/3.
Conclusion
In conclusion, 0.6667 is a recurring decimal that can be simplified into a fraction, specifically 2/3. This simplified form makes it easier to understand and work with the value in mathematical operations.
