Reciprocal Fractions

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the maximum possible value of the expression given.

Hint

If you could repeat numbers, what would the maximum be?
To make the largest value, what should you try to do with the numerator?
What about the denominator?

Answer

The solution is 9 / (1+ (1/8)) = 8

Source: Jacob Johanssen

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