10.1: Dividing by a Whole Number
Work with a partner. One person should solve the problems labeled “Partner A,” and the other should solve those labeled “Partner B.” Write an equation for each question. If you get stuck, draw a diagram.

Partner A

How many 3s are in 12?
Division equation:

How many 4s are in 12?
Division equation:

How many 6s are in 12?
Division equation:


Partner B

What is 12 groups of $\frac 13$?
Multiplication equation:

What is 12 groups of $\frac 14$?
Multiplication equation:

What is 12 groups of $\frac 16$?
Multiplication equation:


What do you notice in the diagrams and equations? Discuss with your partner.

Complete this sentence based on your observations: Dividing by a whole number $a$ produces the same result as multiplying by _____________ .