pick all of the correct answers

Question

what are the equivalent ratios to 8:18

2:15
1:12
12:27
20:45

Answer 1

To find equivalent ratios to 8:18, we can simplify the ratio 8:18 by dividing both numbers by their greatest common divisor, which is 2.

So, 8 ÷ 2 = 4 and 18 ÷ 2 = 9, making the simplified ratio 4:9.

Now, let's check each of the given options to see if any simplify to the ratio 4:9:

1. 2:15 - Simplifies to 2/15, which does not equal 4/9.
2. 1:12 - Simplifies to 1/12, which does not equal 4/9.
3. 12:27 - Simplifies to 12 ÷ 3 = 4 and 27 ÷ 3 = 9, so this simplifies to 4:9, which is equivalent.
4. 20:45 - Simplifies to 20 ÷ 5 = 4 and 45 ÷ 5 = 9, so this simplifies to 4:9, which is also equivalent.

Therefore, the correct answers are:

• 12:27
• 20:45