91Ó°ÊÓ

The numerator is the top part of a fraction. It tells us how many parts of a whole are being considered. In our exercise, the numerator is composed of the numbers \(3 \cdot 2 \cdot 1\). When simplifying or evaluating a fraction, the first step is to simplify the numerator.

To do this, multiply the numbers together: \(3 \times 2 \times 1\). It may help to think of the multiplication one step at a time, multiplying the first two numbers, \(3 \times 2\), which equals \(6\), and then multiplying the result by the next number, \(1\), which doesn't change the product.

So, the numerator simplifies to \(6\).

Understanding how the numerator is simplified is key to dealing with any fraction simplification, so take your time when working with these numbers.

The denominator is found at the bottom portion of a fraction. It shows us into how many parts the whole is divided. In the given problem, the denominator is \(2 \cdot 1\). Similar to simplifying the numerator, we want to simplify the denominator by multiplying these numbers to get a single number.

Here, multiply \(2 \times 1\), which gives \(2\). The denominator is therefore simplified to \(2\).
When you simplify both the numerator and the denominator, you are setting up the fraction to be more easily understood and solved. This step ensures that the fraction is expressed in its most straightforward form.

After simplifying both the numerator and denominator, the final step is to perform division. Division involves taking the simplified numerator and dividing it by the simplified denominator.

In our problem, we simplified the numerator to \(6\) and the denominator to \(2\). Now, perform the division: \(6 \div 2\), which results in \(3\).

Division in a fraction essentially tells you how many times the denominator fits into the numerator. Understanding this step is crucial as it not only gives the simplified or evaluated result of the fraction but also reinforces how division operates within fractions.

With division being the final calculation in this example, you see the importance of each previous step contributing to this clear and simplified result.