Explanation:
M = 2
J = 19
the distance between M and J is 19-2 = 17.
1.
17×1/4 = 17/4 = 4¼ = 4.25
now we need to add this to the starting point of the interval (M = 2), and we get
B = 2 + 4.25 = 6.25
so, mark the point a little bit to the right of 6.
2.
17×7/8 = 119/8 = 14⅞ = 14.875
now we need to add this to the starting point of the interval (M = 2), and we get
C = 2 + 14.875 = 16.875
so, mark the point a little bit to the left of 17.
3.
17×7/16 = 119/16 = 7 7/16 = 7.4375
now we need to add this to the starting point of the interval (M = 2), and we get
D = 2 + 7.4375 = 9.4375
so, mark the point practically in the middle between 9 and 10.
4.
the ratio 3:1 means that there are 3+1 = 4 equally sized "pieces" of the distance between M and J. each piece is therefore ¼ of the distance. MX represents 3 of these ¼ pieces, makes it ¾ of the distance (and XJ has the remaining 1 piece or ¼ of the distance).
17×¾ = 51/4 = 12¾ = 12.75
now we need to add this to the starting point of the interval (M = 2), and we get
X = 2 + 12.75 = 14.75
so, mark the point a little bit to the left of 15.
5.
the ratio 2:3 means that there are 2+3 = 5 equally sized "pieces" of the distance between M and J. each piece is therefore ⅕ of the distance. MX represents 2 of these ⅕ pieces, makes it ⅖ of the distance (and XJ has the remaining 3 pieces or ⅗ of the distance).
17×⅖ = 34/5 = 6⅘ = 6.8
now we need to add this to the starting point of the interval (M = 2), and we get
X = 2 + 6.8 = 8.8
so, mark the point a little bit to the left of 9.
6.
the ratio 1:1 means that there are 1+1 = 2 equally sized "pieces" of the distance between M and J. each piece is therefore ½ of the distance. MX represents 1 of these ½ pieces, makes it ½ of the distance (and XJ has the remaining 1 piece or ½ of the distance).
in short, X is right in the middle between M and J.
17×½ = 17/2 = 8½ = 8.5
now we need to add this to the starting point of the interval (M = 2), and we get
X = 2 + 8.5 = 10.5
so, mark the point in the middle of 10 and 11.