Which of the following ratios is equivalent to the ratio 48:18?

To determine which ratio is equivalent to 48:18, we need to simplify the ratio by finding the greatest common divisor (GCD) of 48 and 18.

1. Find the GCD of 48 and 18:

   • The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
   • The factors of 18 are: 1, 2, 3, 6, 9, 18
   • The common factors are: 1, 2, 3, 6
   • The greatest common factor is 6.

2. Divide both terms of the ratio by the GCD:

   • 48 ÷ 6 = 8
   • 18 ÷ 6 = 3

So, the simplified form of the ratio 48:18 is 8:3.

Therefore, any ratio that simplifies to 8:3 is equivalent to 48:18.