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Find an equivalent ratio in simplest terms:

25:100
:

Find an equivalent ratio in simplest terms:\newline25:10025: 100\newline\square : \square

Full solution

Q. Find an equivalent ratio in simplest terms:\newline25:10025: 100\newline\square : \square
  1. Find GCD of 2525 and 100100: To find an equivalent ratio in simplest terms, we need to find the greatest common divisor (GCD) of both numbers in the ratio and then divide both numbers by that GCD.\newlineFirst, let's find the GCD of 2525 and 100100.\newlineThe factors of 2525 are 11, 55, and 2525.\newlineThe factors of 100100 are 11, 22, 44, 55, 10010011, 10010022, 2525, 10010044, and 100100.\newlineThe greatest common factor they share is 2525.
  2. Identify Factors: Now, we divide both terms of the ratio by the GCD to simplify the ratio.\newlineDivide 2525 by 2525 to get 11.\newlineDivide 100100 by 2525 to get 44.\newlineSo, the simplified ratio is 1:41:4.

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