we know that
A machine produces \(75\) widgets an hour
How many widgets does it produce in \(6\) minutes?
one hour is equal to ------> \(60\ minutes\)
by proportion
\(\frac{75}{60} =\frac{x}{6} \\\\ 60*x= 75*6\\\\ x=\frac{75*6}{60}\)
\(x=7.5\ widgets\)
therefore
the answer is
A machine produces \(7\ widgets\) in \(6\) minutes