pick all of the correct answers

what are the equivalent ratios to 9:6

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

1 answer

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
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