Calculate: 16* 38 1/2

Expression: $16\times 38\frac{1}{2}$

Convert mixed numbers to improper fractions $:{\quad}38\frac{1}{2}=\frac{77}{2}$

$=16\times \frac{77}{2}$

Convert element to fraction $16=\frac{16}{1}$

$=\frac{16}{1}\times \frac{77}{2}$

Apply the fraction rule $\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{16\times 77}{1\times 2}$

Multiply the numbers: $ 1\times 2=2$

$=\frac{16\times 77}{2}$

Divide the numbers: $ \frac{16}{2}=8$

$=8\times 77$

Multiply the numbers: $ 8\times 77=616$

$=616$