Question

write the number of inches indicated by the arrows as an improper fraction.
the number of inches as an improper fraction is .

Explanation:

Determine the ruler scale division

The interval between each whole number (inch) is divided into 8 equal subdivisions. Thus, each small tick mark represents:

$$ \frac{1}{8}\text{ inch} $$

Find the value indicated by the arrow

The arrow points to the tick mark between \(4\) and \(5\). Specifically, it is \(6\) tick marks past \(4\).

$$ 4 + \frac{6}{8} = 4\frac{3}{4} $$

Convert to an improper fraction

Convert the mixed number to an improper fraction:

$$ 4\frac{6}{8} = \frac{4 \times 8 + 6}{8} = \frac{38}{8} = \frac{19}{4} $$

Answer:

The number of inches as an improper fraction is <blank>\(\frac{19}{4}\)</blank>.