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What mixed number is equivalent to 0.724?

  1. 7 9/26

  2. 1 47/63

  3. 8 25/56

  4. 3/77

The correct answer is: 3/77

To determine the equivalent mixed number for the decimal 0.724, it is necessary to first convert the decimal to a fraction. 0.724 can be expressed as 724/1000. This fraction can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 4 in this case, resulting in 181/250. Next, to convert 181/250 into a mixed number format, we divide 181 by 250. Since 181 is less than 250, the whole number part of the mixed number is 0. The fraction remains as is. Now, considering the provided choices for mixed numbers, the one that approaches this value needs to be identified. The correct choice must accurately represent a mixed number close to the decimal value of 0.724. In this case, the correct answer would actually be the one that, when converted into decimal form or when calculated correctly, equals 0.724, rather than the fraction format presented in the choice provided. Thus, it's essential to align the answer with the actual value of the decimal instead of the representation that was selected. Ultimately, the mixed number should capture the value of 0.724 accurately, not represented as a simple