Answer:
![\huge\boxed{\bf\: 3:4:2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/g3p15ndlfztzv39vw41yav6d0xakhnqevu.png)
Explanation:
In the given ratio,
, we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.
Now, let's divide the 3 numbers by 4.
![12:16:8\\= (12)/(4):(16)/(4):(8)/(4)\\=\boxed{\bf\: 3:4:2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/qoij8zfjqowef4krjq6vsetfx4df798pt0.png)
This ratio cannot be further simplified as they don't have any common multiples except for 1.
So, the simplified ratio =
![\boxed{\bf\: 3:4:2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/u5pqzvv7wezsvksaycppa9y9mz4nv7vmw8.png)
![\rule{150pt}{2pt}](https://img.qammunity.org/2023/formulas/mathematics/college/i5tj7bm6uy89hevmpnt9bal70t01kn6ndy.png)