Answer:
or
![(103)/(15)](https://img.qammunity.org/2023/formulas/mathematics/college/kfmrmldglrqqc7ykt04i5b496wv3c312m4.png)
Explanation:
We start with:
![(2)/(3) +6(1)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/gh1smwagrjouxgc5lep8xx183z6zz84s4d.png)
Multiply 6 by the denominator 5 on the right side and add it to the numerator to remove mixed number:
![(2)/(3)+(31)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/9n37tw2lf42he78ttj6g0flnf5doi2p1xk.png)
Find common base, 3x5=15. Multiple left side by 5, right side by 3.
![(10)/(15)+(93)/(15)](https://img.qammunity.org/2023/formulas/mathematics/college/4bcz84rdobs1ys33xlz8sc5y1l0upc559a.png)
Add numerators
![(10+93)/(15) =(103)/(15)](https://img.qammunity.org/2023/formulas/mathematics/college/gipyurp83k6porh5s3o00rbtqoron7t978.png)
As a single fraction:
![(103)/(15)](https://img.qammunity.org/2023/formulas/mathematics/college/kfmrmldglrqqc7ykt04i5b496wv3c312m4.png)
Or we can solve for a mixed number, get the rounded value of the numerator divided by denominator:
![103/15=6](https://img.qammunity.org/2023/formulas/mathematics/college/4tz2c4dh3kp5kwlbxew4gi543ybz72u5g7.png)
Subtract 6*15 from numerator:
![103-(6*15)=13](https://img.qammunity.org/2023/formulas/mathematics/college/kd1bbphkuokpjw08knsq5dpc9eeg7vz38k.png)
Final answer:
![6(13)/(15)](https://img.qammunity.org/2023/formulas/mathematics/college/bkanquatwzxx4whgap2kxf8bjovxie9l2i.png)