Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the smallest (or largest) possible product.
Hint
How can we tell whether it would be better to put the larger/smaller numbers in the numerator or denominator?
Answer
Smallest: 1/9 * 2/8 or largest: 9/1 * 8/2
Source: Robert Kaplinsky
Open Middle®
the smallest product is 1/31 and the greatest product is 36