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The numerator is the top part of a fraction. In the exercise, the numerator is represented by the sum of 22 and 3. When we add these numbers together, we get 25. This means the numerator of our fraction is 25. The primary role of the numerator is to indicate how many parts of the whole (defined by the denominator) we have.
For example, in the fraction \( \frac{3}{4} \), the numerator is 3. This tells us that out of 4 equal parts (as specified by the denominator), we have 3 parts.
In simple terms, the larger the numerator, the more parts we have.

The denominator is the bottom part of a fraction. It tells us into how many equal parts the whole is divided. In our exercise, the denominator is 10.
For instance, if we take the fraction \( \frac{3}{4} \) again, the denominator is 4. This tells us that the whole is divided into 4 equal parts. The denominator is crucial because it provides the context of the size of each part in our fraction.
Without the denominator, we wouldn’t know what size each part of the numerator represents.

The Greatest Common Divisor (GCD) is a very important tool in simplifying fractions. The GCD of two numbers is the largest number that divides both of them without leaving a remainder. In the given solution, we needed to simplify \( \frac{25}{10} \).
We found that the greatest common divisor of 25 and 10 is 5. To simplify the fraction, we divided both the numerator and the denominator by 5, resulting in the simplified fraction \( \frac{5}{2} \).
Here’s a quick way to find the GCD of two numbers:

• List the factors of both numbers.
• Identify the largest factor that appears in both lists.

Let’s take 25 and 10:
Factors of 25 are 1, 5, 25.
Factors of 10 are 1, 2, 5, 10.
The largest common factor is 5, making it the GCD. Once we’ve found our GCD, we use it to simplify the fraction, making it as simple as possible for easier understanding.