Multiplying Mixed Numbers by Whole Numbers

Directions: Using the digits 1-9 at most one time each, fill in the boxes to make the smallest (or largest) product.


How can we tell whether it would be better to put the larger numbers in the whole number, numerator, or denominator?


The current best answer for largest product is 8 7/1 * 9. The current best answer for smallest product 2 3/9 * 1

Source: Robert Kaplinsky

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Directions: Using the digits 1 to 9 at most one time each, place a digit …


  1. In presenting this problem, as an introduction to Fraction Multiplication, I find it hard to justify that the “mixed number” can include an improper fraction like in the sample answer ( 8 7/1)

  2. the answer is 8 7/1 * 2 3/9* 1

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