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Are the ratios 2:12:1 and 4:84:8 equivalent?\newlineChoices:\newline(A)yes\newline(B)no

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Q. Are the ratios 2:12:1 and 4:84:8 equivalent?\newlineChoices:\newline(A)yes\newline(B)no
  1. Simplify 2:12:1: Step 11: Simplify the ratio 2:12:1.\newline2:12:1 is already in its simplest form.
  2. Simplify 44:88: Step 22: Simplify the ratio 4:84:8.\newlineDivide both terms by their greatest common divisor, which is 44.\newline4÷4=14 \div 4 = 1 and 8÷4=28 \div 4 = 2, so the simplest form is 1:21:2.
  3. Compare simplified ratios: Step 33: Compare the simplified ratios.\newlineThe simplest form of 2:12:1 is 2:12:1, and the simplest form of 4:84:8 is 1:21:2.\newlineSince 2:12:1 does not equal 1:21:2, the ratios are not equivalent.

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