![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-4(5)/(6)*6(1)/(2) } \end{gathered}$}}](https://img.qammunity.org/2023/formulas/mathematics/college/xdfrn97s5v84mxevdx5qc9psqiszumshel.png)
Multiply 4 and 6 to get 24.
![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\left(-(24+5)/(6)\right)*\left((6*2+1)/(2)\right) } \end{gathered}$}}\bf{\longmapsto \ add \ [24+5]}](https://img.qammunity.org/2023/formulas/mathematics/college/aktie1vd37tw99wn5zn35lqpwzuwzkaaq1.png)
![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-(29)/(6) *\left((6*2+1)/(2)\right) } \end{gathered}$}}\bf{ \longmapsto \ Simplify \ [6*2+1] }](https://img.qammunity.org/2023/formulas/mathematics/college/3absi5qqu347kgg9zwhxf8yseyw17chxuf.png)
![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-(29)/(6) *\left((13)/(2)\right) } \end{gathered}$}}](https://img.qammunity.org/2023/formulas/mathematics/college/ntnbkvmtdfz03al2or94c83coj779kq6tx.png)
Multiply - 29/6 by 13/2 (to do so, multiply the numerator by the numerator and the denominator by the denominator).
![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{(-29*13)/(6*12) \longmapsto \ \ \ Multiply } \end{gathered}$}}](https://img.qammunity.org/2023/formulas/mathematics/college/10gosdi0akvc245cmdu26hmlywjmpyv8bc.png)
![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{(-377)/(12) } \end{gathered}$}}](https://img.qammunity.org/2023/formulas/mathematics/college/m5ts8r4gm462y220m1ok0dm3vazpgw0zo8.png)
The fraction -377/12 can be written as - 377/12 extracting the negative sign.
![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-(377)/(12) } \end{gathered}$}}](https://img.qammunity.org/2023/formulas/mathematics/college/uy7okmxpz4wjyy9ujn4qvwl61nwjjqnuxk.png)
As is the sum of mixed fractions. Then turn the previous result into mixed fractions.
![\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-(377)/(12)=-(31\cdot12+5)/(12 )=(31\cdot12)/(12)-(5)/(12)=-31-(5)/(12)=-31(5)/(12) } \end{gathered}$} }](https://img.qammunity.org/2023/formulas/mathematics/college/dhe9erwwdlusn7alx7v6xbh97px7wwr7uc.png)