If \displaystyle\frac{30}{7}=x+\frac{1}{\displaystyle y+\frac1z} where x,y, and z are positive integers, then what is the value of x+y+z?
Answer Choices
A. 13
B. 9
C. 11
D. 37
E. 30
If \displaystyle\frac{30}{7}=x+\frac{1}{\displaystyle y+\frac1z} where x,y, and z are positive integers, then what is the value of x+y+z?
Answer Choices
A. 13
B. 9
C. 11
D. 37
E. 30