Solve: 35-(400÷(20/13)-12) Complex Order of Operations

To solve this problem, we'll follow these steps:

• Step 1: Evaluate the division $400 : \frac{20}{13}$.
• Step 2: Subtract 12 from the result obtained in Step 1.
• Step 3: Subtract the entire result from 35.

Now, let's work through each step:
Step 1: Evaluate the division $400 : \frac{20}{13}$. Division by a fraction is the same as multiplying by its reciprocal, so we have:
$400 \times \frac{13}{20} = \frac{400 \times 13}{20} = \frac{5200}{20} = 260$

Step 2: Now subtract 12 from 260:
$260 - 12 = 248$

Step 3: Finally, subtract the result from 35:
$35 - 248 = -213$

Thus, the solution to the problem is $-213$.