What is the simplest form of 9/27?
Understand the Problem
The question is asking for the simplest form of the fraction 9/27, which requires us to reduce the fraction by finding the greatest common divisor of the numerator and denominator.
Answer
The simplified form of the fraction $ \frac{9}{27} $ is $ \frac{1}{3} $.
Answer for screen readers
The simplified form of the fraction $ \frac{9}{27} $ is $ \frac{1}{3} $.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction $ \frac{9}{27} $, we need to find the GCD of 9 and 27. The GCD is the largest number that divides both numbers evenly.
The factors of 9 are: 1, 3, 9
The factors of 27 are: 1, 3, 9, 27
From these factors, the GCD is 9.
- Divide the numerator and denominator by the GCD
Next, divide both the numerator and the denominator by the GCD we found, which is 9.
$$ \text{Numerator: } 9 \div 9 = 1 $$
$$ \text{Denominator: } 27 \div 9 = 3 $$
Now we can rewrite the fraction.
- Write the simplified fraction
Putting it together, the simplified form of the fraction $ \frac{9}{27} $ is:
$$ \frac{1}{3} $$
The simplified form of the fraction $ \frac{9}{27} $ is $ \frac{1}{3} $.
More Information
When you simplify a fraction, you're finding an equivalent fraction that is easier to work with. In this case, $ \frac{9}{27} $ reduces down to $ \frac{1}{3} $, making calculations simpler.
Tips
- Forgetting to divide both the numerator and denominator by the GCD, which can lead to an incorrect simplification.
- Not identifying the correct GCD, leading to an invalid fraction simplification.
