Reduce the Ratio 8:6: Finding the Simplest Form

Question

What is the reduced ratio of the ratio 8:6 8:6 ?

Step-by-Step Solution

To solve this problem, let's reduce the ratio 8:6 8:6 to its simplest form.

First, we need to determine the greatest common divisor (GCD) of the numbers 8 and 6. The divisors of 8 are 1, 2, 4, and 8. The divisors of 6 are 1, 2, 3, and 6. The greatest common divisor shared by both 8 and 6 is 2.

Next, we simplify the ratio by dividing both terms of the ratio by their GCD:

  • Divide 8 by 2: 82=4 \frac{8}{2} = 4
  • Divide 6 by 2: 62=3 \frac{6}{2} = 3

Thus, the ratio 8:6 8:6 simplifies to 4:3 4:3 .

Therefore, the reduced ratio of the given ratio is 4:3 4:3 .

Answer

4:3 4:3