First we calculate the efficiency in liters over kilometers so:
[tex]\frac{100}{15}\frac{\operatorname{km}}{lt}=6.66\frac{\operatorname{km}}{lt}[/tex]Now we can convert the units like
[tex]6.66\frac{\operatorname{km}}{lt}\cdot\frac{3.7854}{1}\frac{lt}{\text{gal}}\cdot\frac{1}{1.6}\frac{\text{miles}}{\operatorname{km}}=15.75\frac{\text{miles}}{\text{gal}}\approx15.8\frac{miles}{gal}[/tex]