Question

A tire rotates 450 times per min. Through how many degrees does a point on the edge of the tire move in 1 sec?

Answer 1

$\frac{450~\text{rotations}}{\text{min}}~\times~\frac{1\text{min}}{60\text{sec}}~\times~\frac{360^{\circ}}{1\text{rotation}}$

Cancel units treating them as variables
$\frac{450}{1}~\times~\frac{1}{60\text{sec}}~\times~\frac{360^{\circ}}{1}$

Simplify and get
$2700^{\circ}/\text{sec}$