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Find an equivalent ratio in simplest terms: 27:60 :

Find an equivalent ratio in simplest terms:\newline27:6027: 60\newline□\square : □\square

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Full solution

Q. Find an equivalent ratio in simplest terms:\newline27:6027: 60\newline□\square : □\square
  1. Identify GCD: Identify the greatest common divisor (GCD) of the two numbers in the ratio.\newlineTo simplify the ratio 27:6027:60, we need to find the GCD of 2727 and 6060. The factors of 2727 are 11, 33, 99, and 2727. The factors of 6060 are 11, 272700, 33, 272722, 272733, 272744, 272755, 272766, 272777, 272788, 272799, and 6060. The greatest common factor that they share is 33.
  2. Divide by GCD: Divide both terms of the ratio by the GCD to find the simplest form.\newlineDivide 2727 by 33 to get 99, and divide 6060 by 33 to get 2020. So, the ratio 27:6027:60 simplifies to 9:209:20.

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