To divide two fractions, you multiply the first fraction by the reciprocal of the second fraction.
The fractions are:
\(\frac{2}{3}\) (two thirds) and \(\frac{5}{8}\) (five eighths).
To find \(\frac{2}{3} \div \frac{5}{8}\), you multiply \(\frac{2}{3}\) by the reciprocal of \(\frac{5}{8}\), which is \(\frac{8}{5}\).
So, the calculation is:
\[ \frac{2}{3} \times \frac{8}{5} = \frac{2 \times 8}{3 \times 5} = \frac{16}{15} \]
Thus, \(2\) thirds divided by \(5\) eighths is \(\frac{16}{15}\).