Question

How do you find the midpoint of [ 11/3, 11/2] and [4/3, 3/2]?

Answer 1

`P_m={55/12,17/12}`

Explanation:

`P_1=[11/3,11/2]" "P_2=[4/3,3/2]`
`P_m:" Midpoint"`
`P_"m x"=(P_"1 x"+P_"2 x")/2=(11/3+11/2)/2=((22+33)/6)/2=55/12`
`P_"m y"=(P_"1 y"+P_"2 y")/2=(4/3+3/2)/2=((8+9)/6)/2=17/12`
`P_m={55/12,17/12}`

Answer 2

`(5/2,7/2)`

Explanation:

To get the `x`-coordinate of the midpoint, find the average of the `x`-coordinates.
`(11/3+4/3)/2=(15/3)/2=5/2`
To get the `y`-coordinate of the midpoint, find the average of the `y`-coordinates.
`(11/2+3/2)/2=(14/2)/2=7/2`