Simplify (

^{3}/_{4}+^{1}/_{3}) x 4^{1}/_{3}+ 3^{1}/_{4}-
**A.**

1/2 -
**B.**

13/12 -
**C.**

10/9 -
**D.**

17/12 -
**E.**

13/9

##### Correct Answer: Option E

##### Explanation

(^{3}/_{4} + ^{1}/_{3}) x 4^{1}/_{3} (div) 3^{1}_{4}

(begin{pmatrix} 9 + 4 \ 12 end{pmatrix}) x (frac{13}{3}) (frac{4}{13}) = 1^{4}_{9}