Chapter 7 - Functions and Graphs - 7.5 Formulas, Applications, and Variation - 7.5 Exercise Set - Page 485: 1

(d) LCM

To get rid of the fractions in an equation, the LCM (least common multiple) of the denominators must be multiplied to both sides of the equation. Example For the equation $\frac{1}{2}y=\frac{1}{3}x-3$, multiplying the LCM of $6$ to both sides of the equation gives: $6(\frac{1}{3}x)=6(\frac{1}{3}x-3) \\2x=2x-18$