#### Answer

$\frac{5}{2}$

#### Work Step by Step

We can write the given ratio as a fraction and then simplify in lowest terms.
$\frac{1\frac{2}{3}cups}{\frac{2}{3}cup}$
Since both the denominator and numerator have the same unit, we can divide out the common unit.
$\frac{1\frac{2}{3}}{\frac{2}{3}}=\frac{\frac{5}{3}}{\frac{2}{3}}=\frac{5}{3}\div{\frac{2}{3}}=\frac{5}{3}\times{\frac{3}{2}}=\frac{5\times3}{3\times2}=\frac{15}{6}=\frac{5}{2}$