Fractions and Tape Diagrams

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?

Fill in the Blank

In this situation, what quantity is being divided?

Fill in the Blank

How many parts is the juice being divided into?

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!

Fill in the Blank

$$\frac{3}{5}\div6=$$  ?