Answer:
![(67)/(24)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tatfkd4csi4hjf0dbn6a9ggzcb1plic6rz.png)
Explanation:
![(2)/(3) /2^(4)+((3)/(4) +(1)/(6))/(1)/(3) \\\\(2)/(3) /2^(4)+ (11)/(12) /(1)/(3) = (2)/(3) /16+ (11)/(12) /(1)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lnjkmtngowic4tski16f7uv7uoxo753jk7.png)
Use the rule a÷b/c=a*c/b
![(2)/(3) *(1)/(16)+ (11)/(12)/ (1)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/u3rxkx4ghlhu5k20hpdzq1kot1ivckczo0.png)
Use the rule a/b*c/d=ac/bd
![(2)/(3*16)+ (11)/(12)/ (1)/(3) \\\\(2)/(48) +(11)/(12)/ (1)/(3) \\\\(1)/(24)+(11)/(12)/(1)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/u9nb4xjkuiwbiw65eat2w715ljnaghcvvg.png)
Use the rule a÷b/c=a*c/b
![(1)/(24) +(11)/(12) *3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z0uyjisi65mdhtcv2ozk2cuxkiajixfluc.png)
Use the rule a/b*c=ac/b
![(1)/(24)+ (11*3)/(12)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w96i1cjs1hy0v1abba6ysl8m4e2tss0a0d.png)
Simplify three times then you're done.
![(1)/(24)+ (33)/(12)= (1)/(24)+ (11)/(4) =(67)/(24)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sfd45q4hd8a9ifrmd24u6k4v40udix7wl1.png)
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤