What Fraction Does Each Mark Between The Left End Of The Ruler And The One Inch Mark Represent?

Inch marks are broken into smaller increments based on divisions of 2

1 inch divided by 2 = 1/2"
1/2 in divided by 2 = 1/4"
1/4 in divided by 2 = 1/8"
1/8" in divided by 2= 1/16"

Looking at your rular, count the number of lines between the 1" and 2". There are 16 lines (on the usual rules). If you count the very first line at the 1" it is 1/16th because it is the first line of 16 lines.

Notice that some lines are longer than others. The longest line is the 1/2" mark. From the beginning of the 1" to the 1/2" mark you can count 8 lines. This is because 8 is half of 16. There are 16/16ths in one inch. Half of that is 8/16th or, taken down to the lowest denominator, 4/8 = 2/4 = 1/2".

Between the 1/2" longest line and the beginning of the inch, there is another longer line, although shorter than the 1/2" line. This is the 1/4" mark. Between these two you can count 4 lines (including the 1/4" line). The first line is 1/16th, the 2nd is 2/16, the third is 3/16th and the 4th is 4/16th. Take 4/16 to the lowest denominator and you have 4/16=2/8=1/4".

Hope this helps.