Question

First find the estimate of the quotient then find the exact quotient 3 3/7 divide by 1 4/9

Answer 1

Estimate of the quotient:
3 3/7 = 3+0.428571=3.428571
1 4/9 = 1+0.444444=1.444444
(3 3/7) / (1 4/9) = 3.428571 / 1.444444 = 2.373627

Estimate of the quotient: 2.373627

Exact quotient:
3 3/7=(7*3+3)/7=(21+3)/7=24/7
1 4/9=(9*1+4)/9=(9+4)/9=13/9

(3 3/7) / (1 4/9) = (24/7) / (13/9) = (24/7)*(9/13)=(24*9) / (7*13)=216/91

Exact quotient: 216 / 91 = (182+34) / 91 = 182 / 91 + 34 / 91 = 2 34/91

Exact quotient: 216/91 = 2  34/91