value of “A” in the expression,

$5+12\times 10÷\frac{120}{240}=A\times \mathrm{10 }$, is:

The correct answer is 24.5.

We need to find the value of A in the expression:

$5+12\times 10÷\frac{120}{240}=A\times 10$

Step 1: Simplify the fraction

First, reduce the fraction inside the expression:

$\frac{120}{240}=\frac{1}{2}$

So the expression becomes:

$5+12\times 10÷\frac{1}{2}=A\times 10$

Step 2: Apply BODMAS — handle Division first (left to right)

Dividing by a fraction is the same as multiplying by its reciprocal:

$10÷\frac{1}{2}=10\times 2=20$

Step 3: Handle Multiplication

$12\times 20=240$

Step 4: Handle Addition

$5+240=245$

So now the equation is:

$245=A\times 10$

Step 5: Solve for A

$A=\frac{245}{10}=24.5$

Therefore, the value of A = 24.5.