Write the ratio 12: 9 as an equivalent ratio of 4: 2. Write your answer as a complete ratio.

Answer 1

To write the ratio 12:9 as an equivalent ratio of 4:2, we first simplify 12:9.

1. Simplify 12:9:

   • The greatest common factor (GCF) of 12 and 9 is 3.
   • Divide both numbers by 3:
     • 12 ÷ 3 = 4
     • 9 ÷ 3 = 3
   • So, 12:9 simplifies to 4:3.

2. Now, comparing 4:3 to 4:2:

   • The ratio 4:2 can also be simplified.
   • The GCF of 4 and 2 is 2.
   • Divide both numbers by 2:
     • 4 ÷ 2 = 2
     • 2 ÷ 2 = 1
   • So, 4:2 simplifies to 2:1.

Now, we see that 12:9 simplified is actually 4:3, not 4:2, and there's no direct way to present them as equivalent.

The final answer, based on the simplification done, is:

4:3.

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