What is the simplified form of the ratio 8:12?

To simplify the ratio 8:12, you start by finding the greatest common divisor (GCD) of the two numbers, which is the largest number that divides both 8 and 12 without leaving a remainder. In this case, the GCD is 4.

Next, you divide both sides of the ratio by the GCD:

• For the first number: 8 divided by 4 equals 2.
• For the second number: 12 divided by 4 equals 3.

Thus, when you simplify the ratio 8:12 by dividing both terms by their GCD, you arrive at the simplified ratio of 2:3.

This shows that 2:3 correctly represents the same relationship as 8:12 in its simplest form. Simplifying ratios is an important concept in quantitative literacy as it allows for more straightforward comparisons and calculations.