Answer:
![1(3)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/lzn7sv9x7a43afwlpsuy82skqan1kg7ig8.png)
Explanation:
6/15 + 3/10 + 3/5
Reduce the fraction
to the lowest terms by extracting and canceling out 3.
![(2)/(5) + (3)/(10) + (3)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/95pg4v43drrprgn9znd8pwcguolz7c5yjf.png)
The least common multiple of 5 and 10 is 10. Convert
and
have the same denominator, add them by adding their numerators.
![(4+3)/(10)+(3)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/bw7qhpw1vp0jtv122enwixoj87u4appe9q.png)
Add 4 and 3 to get 7.
![(7)/(10) + (3)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/jd7tnrlykmqlfqjnvf7t24dwjas0hmn91c.png)
The least common multiple of 10 and 5 is 10. Convert
and
have the same denominator, add them by adding their numerators.
![(7+6)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/fo1hzc31jv3jmv935r80y1tg08tc9fluwb.png)
Add 7 and 6 to get 13.
![(13)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/viz3qlx0zg21jplha62v8zh3sikctl0qha.png)
Then simplify to get
=
![1(3)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/lzn7sv9x7a43afwlpsuy82skqan1kg7ig8.png)
Hope it helps and have an amazing day! =D
~sunshine~