pick all of the correct answers

Question

what are the equivalent ratios to 9:6

24:16
6:21
39:9
15:10

Answer 1

To find equivalent ratios to 9:6, we can simplify the ratio and then find other ratios that simplify to the same value.

First, simplify 9:6:

• Divide both numbers by their greatest common divisor, which is 3:
  • \( \frac{9}{3} : \frac{6}{3} = 3:2 \)

Now let's analyze the given options:

1. 24:16

   • Simplifying: \( \frac{24}{8} : \frac{16}{8} = 3:2 \) (equivalent)

2. 6:21

   • Simplifying: \( \frac{6}{3} : \frac{21}{3} = 2:7 \) (not equivalent)

3. 39:9

   • Simplifying: \( \frac{39}{3} : \frac{9}{3} = 13:3 \) (not equivalent)

4. 15:10

   • Simplifying: \( \frac{15}{5} : \frac{10}{5} = 3:2 \) (equivalent)

Thus, the correct answers that are equivalent to 9:6 are:

• 24:16
• 15:10