find the length of this line segment (in inches)

To start, we must know what the question is asking us for. The question is asking us to find the length of the line segment EF. To find the length of the line segment EF, we must find the value of the point that F is on. The rule has measurements of inches, which are further split into halves, which are further split into fourths, which are further split into sixteenths. We see that the point F is on the 7th sixteenth, meaning that this line segment is 1 and 7/16 inches long.
Look at 0 and 1 on the ruler. Now count the number of marks between 0 and 1. There are 16 marks. That means the smallest fraction of an inch this ruler shows is 1/16 of an inch.
Segment EF starts at E, over the 0 on the ruler scale. It goes past 1, so the segment is more than 1 inch long. It ends before the 2 on the scale, so the segment is less than 2 inches. Starting at the 1, count the number of 1/16s of an inch. There are 7, so the length of the segment is 1 inch and 7/16 of an inch. This can be expressed as the mixed numeral 1 7/16 inch or as the decimal number 1.4375 in.
Answer: 1 7/16 inches or 1.4375 inches