\(6\frac23\times1\frac14\)

Convert the mixed numbers into improper fractions.

\(\frac{20}{3}\times\frac{5}{4}\)

Multply straight across.

\(\frac{20\times5}{3\times4} \\~\\ \frac{100}{12}\)

Reduce.

\(\frac{25}{3}\)

If you need it as a mixed number that is = \(8\frac13\)