AMC 8 1995 Problem 5

Find the smallest whole number that is larger than the sum $$2\dfrac{1}{2}+3\dfrac{1}{3}+4\dfrac{1}{4}+5\dfrac{1}{5}.$$ $\text{(A)}\ 14 \text{(B)}\ 15 \text{(C)}\ 16 \text{(D)}\ 17 \text{(E)}\ 18$