Fraction of Fraction

I loved this muffin so much that I only ate half of it so I could eat more later

Today, I’ll eat two third of this half.

How much muffin will I eat today?

Which visual would best represent this situation:

I’ll eat two third of this half.

What does this slice represent?

My goal today was to run  $\frac{1}{2\ }$  of a mile but I only ran  $\frac{1}{4}$  of that distance.  What visual best represents  $\frac{1}{4}\ of\ \frac{1}{2}\ ?$   

My goal today was to run  $\frac{1}{2\ }$  of a mile but I only ran  $\frac{1}{4}$  of that distance.  What is  $\frac{1}{4}\ of\ \frac{1}{2}\ ?$   

What method did you use to solve?

Which of these models could represent  $\frac{2}{3}$  ?

Layer  $\frac{1}{5}$  on top of  $\frac{2}{3}$  , how many total squares are there now?

What is the area of a rectangle that is  $\frac{2}{3}$   of an inch wide and  $\frac{1}{5}$   of an inch long?

Which area model best represents a rectangle with a width of  $\frac{3}{4}$  and a length of  $\frac{2}{3}$  ?

What is the area of a rectangle that is  $\frac{3}{4}$   of an inch wide and  $\frac{2}{3}$   of an inch long?