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Find an equivalent ratio in simplest terms: 24:32 :

Find an equivalent ratio in simplest terms:\newline24:3224: 32\newline□\square : □\square

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Full solution

Q. Find an equivalent ratio in simplest terms:\newline24:3224: 32\newline□\square : □\square
  1. Identify Numbers and GCD: Identify the numbers in the ratio and the greatest common divisor (GCD) that can be used to simplify the ratio.\newlineThe numbers in the ratio are 2424 and 3232. To simplify the ratio, we need to find the GCD of 2424 and 3232.
  2. Calculate GCD: Calculate the GCD of 2424 and 3232. The factors of 2424 are 11, 22, 33, 44, 66, 88, 1212, 2424. The factors of 3232 are 11, 22, 44, 88, 323266, 3232. The greatest common factor is 88.
  3. Divide and Simplify: Divide both terms of the ratio by the GCD to find the simplest form.\newline24÷8=324 \div 8 = 3\newline32÷8=432 \div 8 = 4\newlineSo, the simplest form of the ratio 24:3224:32 is 3:43:4.

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