Your Health Insurance Reimbursed Your Doctor $\frac { 3 } { 5 }$

Your health insurance reimbursed your doctor $\frac { 3 } { 5 }$ of the billed amount for an office visit. You paid $\frac { 2 } { 6 }$ of the billed amount when you saw the doctor. What fractional amount of the bill remains to be paid?

A) $\frac { 1 } { 15 }$
B) $\frac { 2 } { 15 }$
C) $\frac { 2 } { 25 }$
D) $\frac { 15 } { 1 }$
E) $\frac { 1 } { 5 }$