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

### Hint

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

### Answer

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

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)

Sure. Feel free to modify it for your situation.

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