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Find an equivalent ratio in simplest terms: 24:88 :

Find an equivalent ratio in simplest terms:\newline24:8824: 88\newline□\square : □\square

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Full solution

Q. Find an equivalent ratio in simplest terms:\newline24:8824: 88\newline□\square : □\square
  1. Identify GCD: Identify the greatest common divisor (GCD) of the two numbers in the ratio.\newlineTo simplify the ratio 24:8824:88, we need to find the GCD of 2424 and 8888. We can do this by listing the factors of each number or using the Euclidean algorithm.\newlineFactors of 2424: 1,2,3,4,6,8,12,241, 2, 3, 4, 6, 8, 12, 24\newlineFactors of 8888: 1,2,4,8,11,22,44,881, 2, 4, 8, 11, 22, 44, 88\newlineThe greatest common divisor of 2424 and 8888 is 88.
  2. Find Factors: Divide both terms of the ratio by the GCD to find the simplest form.\newlineNow we divide both numbers in the ratio by the GCD:\newline24÷8=324 \div 8 = 3\newline88÷8=1188 \div 8 = 11\newlineSo, the ratio 24:8824:88 simplified is 3:113:11.

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