22/4 simplified
Understand the Problem
The question is asking to simplify the fraction 22/4, which involves finding the greatest common divisor and reducing the fraction to its simplest form.
Answer
The simplified form of $\frac{22}{4}$ is $\frac{11}{2}$.
Answer for screen readers
The simplified form of the fraction $\frac{22}{4}$ is $\frac{11}{2}$.
Steps to Solve
- Identify the greatest common divisor (GCD)
To simplify the fraction $\frac{22}{4}$, we need to find the GCD of the numerator (22) and the denominator (4). The GCD is the largest number that divides both numbers evenly.
The GCD of 22 and 4 is 2 because:
- Factors of 22: 1, 2, 11, 22
- Factors of 4: 1, 2, 4
- Divide both the numerator and the denominator by the GCD
Now, we will divide both the numerator and the denominator by their GCD, which is 2:
$$ \frac{22 \div 2}{4 \div 2} = \frac{11}{2} $$
- Write the simplified fraction
After dividing, we obtain the simplified fraction:
$$ \frac{11}{2} $$
The simplified form of the fraction $\frac{22}{4}$ is $\frac{11}{2}$.
More Information
When simplifying fractions, finding the GCD is essential. It helps in reducing the fraction to its simplest form, making it easier to work with. In this case, $\frac{11}{2}$ is an improper fraction, meaning the numerator is larger than the denominator.
Tips
- Forgetting to divide both the numerator and denominator by the GCD.
- Miscalculating the GCD. Always check the factors carefully to ensure the correct GCD is used.
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