This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Answer
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To find the whole number that must go in the box, we need to convert all values to a common format, such as decimals or percentages, and then arrange them in ascending order.
Step 1: Convert the given values to percentages. The first value is . To convert a decimal to a percentage, multiply by . The second value is . This is already in percentage form. The third value is . To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by .
Step 2: Arrange the values in ascending order. The list of values in percentage form is , , . For the list to be in ascending order, the value in the box must be greater than and less than .
Step 3: Determine the whole number for the box. We are looking for a whole number that is strictly between and . The only whole number that satisfies this condition is .
The whole number that must go in the box is .
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.