Given the number line, it appears that in every 1/2 of a number, there are 5 bars in it. And in every 5 bars, 4 bars were shaded.
Adding the number of shades, we get:
4 + 4 + 4 = 12
Adding the total number of bars, we get:
5 + 5 + 5 = 15
The total number of bars sums up to be 3/2 in the number line.
Putting this into an equation, we get:
[tex]\text{ }\frac{12}{15}\text{ of }\frac{3}{2}\rightarrow\frac{\frac{12}{3}}{\frac{15}{3}}\rightarrow\frac{4}{5}of\frac{3}{2}\text{ }[/tex]Therefore, the answer is 4/5 of 3/2. It is letter B.