# Dividing Decimals (Elementary)

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

### Hint

What number does each box represent?

The current smallest quotient is 1.23 / 9.87 = 0.124. No answers yet for the largest quotient.  If you have one, post it in the comments.

Source: Robert Kaplinsky

## Equivalent Expressions with Fractions

Directions: Using the digits 0 to 9 at most one time each and choosing either …

1. Just a heads up on a typo: quotient, not sum

2. 1.23 / 9.87 = 0.124

• Thanks DYMB! I added it to the problem.

• Ashley McCullough

My students got this today, too! We had a great discussion about thinking of this problem as a fraction instead of a division problem. Once a student got 0.5 as an answer, other students realized they could get 1/4 by making the dividend a quarter of the divisor. That led to 1/8. So fun!!

3. 9.87/1.23=8.024

4. My problem with either largest or smallest quotient is that your quotient repeats digits that were part of the divisor.

5. largest is 9.87/1.23 = 8.0243902439

6. 1.23 / 9.87 = 0.124

7. 1.23 divided 9.87 = 0.124