22/6 simplified
Understand the Problem
The question is asking to simplify the fraction 22/6, which involves finding the greatest common divisor and reducing the fraction.
Answer
$ \frac{11}{3} $
Answer for screen readers
The simplified fraction is $ \frac{11}{3} $.
Steps to Solve
- Identify the Greatest Common Divisor (GCD)
To simplify the fraction $ \frac{22}{6} $, we first need to find the GCD of the numerator (22) and the denominator (6). The factors of 22 are 1, 2, 11, and 22. The factors of 6 are 1, 2, 3, and 6. The largest factor they have in common is 2.
- Divide the Numerator and Denominator by the GCD
Now, we divide both the numerator and the denominator by the GCD we just found.
For the numerator: $$ \frac{22}{2} = 11 $$
For the denominator: $$ \frac{6}{2} = 3 $$
- Write the Simplified Fraction
After dividing, we can write the simplified fraction. The result is:
$$ \frac{11}{3} $$
The simplified fraction is $ \frac{11}{3} $.
More Information
The fraction $ \frac{22}{6} $ simplifies to $ \frac{11}{3} $, which is an improper fraction. Improper fractions have numerators larger than the denominators and can also be converted to mixed numbers if desired. Here, it shows that 22 divided by 6 results in a little over 3.
Tips
- A common mistake is failing to find the GCD correctly, which can lead to incorrect simplifications.
- Another mistake is dividing only one part of the fraction instead of both the numerator and the denominator.
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