Directions: Using the digits 1 to 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 largest product was found by Sandy Pray’s student and is 8 7/1 * 9 6/2 = 180. It beats the former largest product of 9 7/1 * 8 6/2 which was found by Ivy Kong’s students. The current best answer for smallest product 1 3/9 * 2 4/8

Source: Robert Kaplinsky

Hi Robert, my students figured out that the largest product is 9 7/1 * 8 6/2, which is 176. 🙂

Awesome Ivy! That is MUCH larger. I’ll update it and give your students credit.

Our student discovered 8 7/1 * 9 6/2 = 180. Beats 176 by 4 points but even more made a very reserved student feel like queen of the day!

Wow. Thank you so much for sharing that Sandy! There are never enough moments to make students feel that way. I’ll update the answer.