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What is the decimal equivalent of 66 2/3%?

  1. 0.66

  2. 0.60

  3. 0.67

  4. 0.75

The correct answer is: 0.67

To convert a percentage to a decimal, you divide the percentage value by 100. In this case, 66 2/3% can be expressed as follows: First, convert 66 2/3% into an improper fraction. The fraction 2/3 added to 66 gives you a total of 66 and 2/3, which can be rewritten as 200/3% (because 66 is equivalent to 198/3 and then adding the 2/3 gives a total of 200/3). Next, to find the decimal equivalent, you divide this figure by 100: (200/3) ÷ 100 = (200/3) × (1/100) = 200/300 = 2/3. Now, converting the fraction 2/3 into decimal form yields approximately 0.6666... which can be rounded to 0.67. Thus, the decimal equivalent of 66 2/3% is indeed 0.67.