The value of  $4+\frac{2}{15}-\frac{3}{2}$  is

$4+\frac{2}{15}-\frac{3}{2}$

The L.C.M of 15 and 20 is

The L.C.M of 15 and 20$=5x1x3x4$

  $=60$

$\frac{4\times 60+2\times 4-3\times 3}{60}$

$=\frac{240+8-9}{60}$

$=\frac{239}{60}$

: option (B) is correct