Solve Complex Division: 112÷(0.5÷0.25)² Step-by-Step

To solve the problem, follow these steps:

• Step 1: Simplify $0.5 : 0.25$.
• Step 2: Square the result of step 1.
• Step 3: Divide 112 by the result of step 2.

Let's perform each step:
Step 1: Calculate $0.5 : 0.25$.
To find this, divide 0.5 by 0.25. Since dividing by a fraction is the same as multiplying by its reciprocal,
we have: $0.5 \div 0.25 = 0.5 \times 4 = 2$.
Step 2: Now, square this result:
$(2)^2 = 4$.
Step 3: Finally, divide 112 by this square:
$\frac{112}{4} = 28$.

Thus, the solution to the problem is $28$.