A visual tool to illustrate fraction multiplication

This tool allows you to VISUALIZE fraction multiplication ...and other fraction operations, but I think it's especially useful for fraction multiplication.

Many students (and adults!) miss the notion that conceptually, we can think of fraction multiplication this way:

1/2 × 3/4 can be seen as HALF of 3/4... which is 3/8.

Or, 5/6 × 1 1/2 can be thought of as 5/6 OF 1 1/2 , which is 1 1/4.

This interpretation (called "scaling") gives a very simple meaning to this operation, and it is especially important because it EXTENDS to decimals and percentages:

You see, 1/2 × 3/4 can be written as 50% of 3/4 =  50% × 3/4 = 0.5 × 3/4 = 0.5 × 0.25.

Or, 5/6 × 1 1/2 becomes (about) 83% of 1 1/2. Or maybe you turn it around and get 1 1/2 × 5/6 = 150% of 5/6. Being able to think FLEXIBLY of fractions/decimals/percentages really helps you (and your students) find all kinds of tie-ins with real-world situations.