Solve the Sequential Division: 10:(10:5) Step-by-Step Solution

To solve the expression $10 : (10 : 5)$, we will apply the order of operations systematically.

Step 1: Evaluate the inner division $10 : 5$.
When we compute $10 : 5$, we are finding how many times 5 fits into 10. This calculation can be expressed as:
$\frac{10}{5} = 2$.

Step 2: Substitute the result from step 1 into the outer division.
Now, we substitute $10 : (10 : 5)$ with $10 : 2$. Once again, we apply division:
$\frac{10}{2} = 5$.

Therefore, the solution to the expression $10 : (10 : 5)$ is $5$.