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Are the ratios 4:6 and 2:9 equivalent?

Question

Are the ratios 4:6 and 2:9 equivalent?

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Solution

No, the ratios 4:6 and 2:9 are not equivalent. Here's why:

Step 1: Simplify the first ratio. The greatest common divisor of 4 and 6 is 2. So, divide both numbers by 2. This gives you 2:3.

Step 2: Look at the second ratio. It's already in its simplest form, which is 2:9.

Step 3: Compare the two simplified ratios. 2:3 is not the same as 2:9. Therefore, the two ratios are not equivalent.

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