Question

Which expression represents the sum of 2/3m - 1 1/6 and 5/6m - 1 1/3

Answer 1

the options in the attached figure

we have that

[(2/3)m - 1 1/6]+[(5/6)m - 1 1/3]

step 1
1 1/6--------> (1*6+1)/6-----> 7/6
1 1/3--------> (1*3+1)/3------> 4/3

step 2
[(2/3)m - 1 1/6]-------> [(2/3)m - 7/6]-------> [(2*2m-7)]/6------> [4m-7]/6

[(5/6)m - 1 1/3]------- [(5/6)m - 4/3]-------> [(5m-4*2)]/6--------> [5m-8]/6

step 3

[(2/3)m - 1 1/6]+[(5/6)m - 1 1/3]----------> [4m-7]/6+[5m-8]/6-----> [9m-15]/6

[9m-15]/6-----------> (9m/6)-(15/6)------> 1.5m-2.5-----> (1 1/2)m-2 1/2


the answer is the option
c.) 1 1/2m - 2 1/2