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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

  1. 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.

  1. 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: $$ \frac{6}{2} = 3 $$

  1. 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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