Example1.2.13

We could also use multiplication to decrease amounts. How much is \(\frac{1}{2}\) of \(\frac{2}{3}\) cup?

a rectangle that is taller than it is wide; it is subdivided into three equally sized rectangles stacked vertically; a dashed vertical line further subdivides the rectangle down the middle; the bottom two subrectangles are colored blue to indicate having liquid in them; the left halves of the bottom two rectangles are a different shade of blue than the right halves

So \(\frac{1}{2}\) of \(\frac{2}{3}\) cup is \(\frac{2}{6}\) cup. Mathematically, we can write

\begin{equation*} \frac{2}{3} \cdot \frac{1}{2} = \frac{2}{6}\text{.} \end{equation*}
in-context