Keep the dividend \(\displaystyle \frac56\) unchanged and multiply by the reciprocal of \(\displaystyle \frac23\).

Thus \(\displaystyle \frac56\times\frac32=\frac{15}{12}=\frac54=1\frac14\). Flipping both fractions changes the original dividend and therefore changes the calculation.

Answer

\(\displaystyle \frac54=1\frac14\)