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A fraction is made up of two main parts: the numerator and the denominator. In the fraction \(\frac{12 \text{ km}}{2 \text{ km}}\), the numerator is the number on top (12 km), and the denominator is the number on the bottom (2 km). These parts indicate the ratio of one quantity to another.

Think of the numerator as how many pieces you have, and the denominator as how many pieces make up a whole. Here, 12 kilometers (km) is the quantity we have, and we are comparing it to 2 kilometers. This step is crucial because simplifying a fraction involves working with these two components.
Identifying the numerator and the denominator is the first step toward solving any fraction problem.

Unit cancellation occurs when the numerator and denominator of a fraction have the same units. These units can effectively 'cancel out' each other. Let's explore this further with our given fraction \(\frac{12 \text{ km}}{2 \text{ km}}\).

Both the numerator and the denominator are measured in kilometers (km). When we divide these quantities, the units cancel each other out, leaving us with a simpler number. In this case, kilometers don't play a role in the final simplified fraction.

It's like dividing 12 apples by 2 apples; the apples 'disappear,' leaving only the numerical value of 6. This is why, after canceling the units, we are left with just the number 6 in this problem.
Always ensure that the units in the numerator and denominator match before performing unit cancellation.

Simplifying a fraction often involves basic division. Once we've identified the numerator and the denominator and performed any necessary unit cancellations, the next step is to divide. Here, we simplify \(\frac{12}{2}\). To do this, we divide the numerator (12) by the denominator (2).

Basic division is straightforward:

• 12 divided by 2 equals 6.

This means that \(\frac{12}{2}\) simplifies to 6.
Remember these steps:

• Identify numerator and denominator
• Cancel any units
• Perform the division

Now you can simplify fractions easily and correctly!