According to the information above, how many teaspoons are equal to 3/

\(3\,\,{\text{teaspoons}}\,\,\,\, \leftrightarrow \,\,\,\,1\,\,\,{\text{tablespoon}}\)

\(4\,\,{\text{tablespoons}}\,\,\,\, \leftrightarrow \,\,\,\,\frac{1}{4}\,\,\,{\text{cup}}\,\,\,\,\,\)

\(\frac{3}{8}cup\,\,\, = \,\,\,\,?\,\,\,{\text{teaspoons}}\)

\(\frac{3}{8}cup\,\,\,\left( {\frac{{4\,\,{\text{tablespoons}}}}{{\frac{1}{4}\,\,\,{\text{cup}}}}\,\,\begin{array}{*{20}{c}}\\
\nearrow \\ \\
\nearrow \\
\end{array}} \right)\,\,\,\,\left( {\frac{{3\,\,{\text{teaspoons}}}}{{1\,\,\,{\text{tablespoon}}}}\,\,\begin{array}{*{20}{c}}\\
\nearrow \\ \\
\nearrow \\
\end{array}} \right)\,\,\,\, = \,\,\,\frac{{3 \cdot 4 \cdot 4 \cdot 3}}{{8 \cdot 1}} = 18\,\,\,\,\,\,\,\,\,\left[ {{\text{teaspoons}}} \right]\)

This is a nice example of UNITS CONTROL technique, one of our most powerful tools!

(Arrows indicate licit converters.)

The above follows the notations and rationale taught in the GMATH method.