Common denominators can really help when we want to simplify ratios, just like they do with fractions.

When you have a ratio like 8:12, the goal is to make it as simple as possible.

Here’s how to do it:

1. Find the Greatest Common Factor (GCF):

   • First, figure out the GCF of the two numbers.
   • For 8 and 12, the GCF is 4.

2. Divide by the GCF:

   • Next, divide both parts of the ratio by the GCF:
   • 8 ÷ 4 = 2
   • 12 ÷ 4 = 3

Now, you have simplified 8:12 down to 2:3.

Using common denominators makes it easier to spot these factors. This helps to make the simplification process a lot smoother and simpler!