You are on an academic committee tasked to evaluate state employment math test questions. The following question has come to the attention of the committee: "Each of the four digits 3, 4, 5, and 8 is placed in one of the boxes to form a fraction. The numerator and the denominator are two-digit whole numbers. What is the smallest value of all the common fractions that can be formed? Express your answer as a reduced fraction."

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You are on an academic committee tasked to evaluate state employment math test questions. The following question has come to the attention of the committee: &quot;Each of the four digits 3, 4, 5, and 8 is placed in one of the boxes to form a fraction. The numerator and the denominator are two-digit whole numbers. What is the smallest value of all the common fractions that can be formed? Express your answer as a reduced fraction.&quot;

Benedict · Accepted Answer

Step 1    Each of the four digits 3,4,5 and 8 is placed to form a fraction with numerator and denominator having 2 digits.    Possible fractions are in 4! ways (24 ways)    Possible fractions are,    Step 2    3458,3485,3548,3584,3845,3854,4358,4385,4538,4583,    4835,4853,5348,5384,5438,5483,5834,5843,8345,8354,    8435,8453,8534,8543    Smallest among all the fractions is 3485=25

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