Question

Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three?

Answer 1

We write the expressions first mathematically:
 three divided by one-fifth:
 (3) / (1/5)
 one-fifth divided by three:
 (1/5) / (3)
 We now use the double c method to find the results:
 (3) / (1/5) = (3 * 5) / (1 * 1) = 15/1 = 15
 (1/5) / (3) = (1 * 1) / (5 * 3) = 1/15 = 0.066666667
 The difference between the two is:
 15-0.066666667 = 14.93333333
 Answer 
 They are different because they are inverse expressions.