Problema Solution

If the quotient of

7/9 and

1/3 is subtracted from the product of

1 1/2 and

2 4/7, what is the difference? Write the solution as a mixed number or a fraction in lowest terms.

Answer provided by our tutors

1 1/2 = 3/2

2 4/7 = (2*7 + 4)/7 = 18/7 

(3/2)*(18/7) - (7/9)/(1/3) = 27/7 - 7/27 = (27*27 - 7*7)/(7*27) = 680/189 = 3 113/189