by phw » Fri Jun 29, 2018 9:53 pm
Many people prefer working with whole numbers to fractions and when confronted with an equation involving fractions will try to get rid of them as soon as practical -- typically by multiplying both sides of the equation by the least common multiple of everything that appears in a denominator. In this case 120 is the LCM of 40 and 60 so multiplying by it converts an ugly fractions equation into a nice easy whole numbers equation.