Fraction Diagram

Dividing Fractions with Tape Diagrams

Let's Explore a Situation

 $\frac{3}{5}$  pint of juice is poured into 6 glasses...how much juice goes into each glass?

Multiple Choice

What is the equation that best represents this situation?

• $$6\div\frac{3}{5}=?$$  

• $$\frac{3}{5}\div6=?$$  

Open Ended

$$\frac{3}{5}\div6=?$$  So, thinking about our equation ... how would you label the bracket in this diagram?

Open Ended

$$\frac{3}{5}\div6\ =?$$  And how many PARTS do we need to break the bracketed section into to represent our equation? 

Take a look at the following tape diagrams...

and pick the one that YOU think works best.

Which tape diagram looks correct?

Multiple Choice

Which tape diagram best shows 3/5ths broken into 6 parts?

Multiple Choice

OK, now we have broken our 3/5 pinto of juice into 6 parts...sweet!

WAIT!

Do we have a NEW FRACTION in our diagram?

WHAT IS THIS?

• It's  $$\frac{6}{10}$$  , silly! Which is EQUIVALENT to  $$\frac{3}{5}$$  .

• You lost me!