Distance word problem

Question

What fraction  located  3/4 of the distance between 1 2/3 and 4 1/2

Answer 1

4 1/2 - 1 2/3 = 4 3/6 - 1 4/6 = 3 9/6 - 1 4/6 = 2 5/6 = 17/6

 

(3/4)(17/6) = 17/8 = 2 1/8

 

1 2/3 + 2 1/8 = 1 16/24 + 2 3/24 = 3 19/24

Answer 2

Distance between 1 2/3 and 4 1/2 =27/6-10/6=17/6

 

3/4*17/6=17/8

 

1 2/3+17/8=40/24 + 51/24= 91/24= 3  19/24