27/33 simplified
Understand the Problem
The question is asking for the simplification of the fraction 27/33, which involves finding the greatest common divisor (GCD) and reducing the fraction to its simplest form.
Answer
The simplified form of the fraction is $ \frac{9}{11} $.
Answer for screen readers
The simplified form of the fraction $ \frac{27}{33} $ is $ \frac{9}{11} $.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction $ \frac{27}{33} $, we need to find the GCD of 27 and 33. We can list the factors of each number:
Factors of 27: 1, 3, 9, 27
Factors of 33: 1, 3, 11, 33
The common factors are 1 and 3, so the GCD is 3.
- Divide the Numerator and Denominator by the GCD
Now we divide both the numerator and the denominator by the GCD (which is 3):
$$ \frac{27 \div 3}{33 \div 3} $$
This results in:
$$ \frac{9}{11} $$
- Final Simplified Fraction
The fraction $ \frac{27}{33} $ has been simplified to $ \frac{9}{11} $.
The simplified form of the fraction $ \frac{27}{33} $ is $ \frac{9}{11} $.
More Information
Simplifying fractions can help in various mathematical applications, including solving equations and comparing fractions. The GCD is key in finding the simplest form of a fraction.
Tips
- Forgetting to divide both the numerator and denominator by the GCD, which could lead to an incorrect simplification.
- Not finding the GCD correctly. Always double-check the factors of the numbers involved.
