.33333 as a Fraction
What is .33333 as a Fraction?
.33333 is a recurring decimal that can be converted into a fraction. But what is the exact fraction equivalent of .33333?
The Conversion
To convert .33333 into a fraction, we can use the following steps:
- Let x = .33333
- Multiply both sides by 10 to move the decimal point to the right: 10x = 3.33333
- Multiply both sides by 10 again: 100x = 33.3333
- Subtract the first equation from the second equation: 90x = 30
- Divide both sides by 90: x = 30/90
Simplifying the Fraction
The fraction 30/90 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 30.
- 30 ÷ 30 = 1
- 90 ÷ 30 = 3
So, the simplified fraction is:
.33333 = 1/3
Conclusion
In conclusion, .33333 as a fraction is equal to 1/3. This conversion is useful in various mathematical operations, such as algebra, geometry, and calculus, where fractions are often preferred over decimals.
