Elle lives 1/10 mile from school. Haresh lives 2/3 mile from school. How much closer to school does Elke live than Haresh? Simplify the answer if possible
A: 1/7 mi
B: 6/7 mi
C: 2/15 mi
D: 17/30 mi
To find how much closer Elke lives to the school than Haresh, we need to find the difference between their distances from the school.
Elke lives $\frac{1}{10}$ mile from the school and Haresh lives $\frac{2}{3}$ mile from the school.
So the difference is $\frac{1}{10}-\frac{2}{3}=\frac{3}{30}-\frac{20}{30}=\frac{-17}{30}$.
Since the question asks for a positive value, we get $-\frac{17}{30}=\boxed{\textbf{(D) }\frac{17}{30}}.$