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Find an equivalent ratio in simplest terms:

44:72
:

Find an equivalent ratio in simplest terms:\newline44:7244: 72\newline\square : \square

Full solution

Q. Find an equivalent ratio in simplest terms:\newline44:7244: 72\newline\square : \square
  1. Identify GCD: Identify the greatest common divisor (GCD) of 4444 and 7272. To do this, list the factors of each number and find the largest number that divides both without leaving a remainder. Factors of 4444 are 11, 22, 44, 1111, 2222, 4444. Factors of 7272 are 11, 22, 727222, 44, 727244, 727255, 727266, 727277, 727288, 727299, 444400, 7272. The GCD is 44.
  2. Divide by GCD: Divide both terms of the ratio by the GCD to simplify the ratio. So, divide 4444 by 44 and 7272 by 44. 44÷4=1144 \div 4 = 11 and 72÷4=1872 \div 4 = 18.
  3. Write Simplified Ratio: Write the simplified ratio. The simplified ratio is 11:1811:18.

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