![Evaluate the expression: 22 - [15 - \48 / (16 - 6 / 3 x 4 - 1)\]](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1775296781099-61b199f224f9d99f.png&w=3840&q=75)
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's how to solve the expression step-by-step using the order of operations (BODMAS/PEMDAS): The expression is: 22 - [15 - \48 ÷ (16 - 6 ÷ 3 × 4 - 1)\] Step 1: Evaluate the innermost parentheses (16 - 6 ÷ 3 × 4 - 1). First, perform the division: 6 ÷ 3 = 2 Substitute this back: (16 - 2 × 4 - 1) Next, perform the multiplication: 2 × 4 = 8 Substitute this back: (16 - 8 - 1) Finally, perform the subtractions from left to right: 16 - 8 = 8 8 - 1 = 7 So, the value inside the parentheses is 7. Step 2: Substitute this value back into the curly braces and evaluate the expression inside them. \48 ÷ 7\ This simplifies to (48)/(7). Step 3: Substitute this value back into the square brackets and evaluate the expression inside them. [15 - (48)/(7)] To subtract, find a common denominator: 15 = (15 × 7)/(7) = (105)/(7) Now subtract: [(105)/(7) - (48)/(7)] [(105 - 48)/(7)] [(57)/(7)] So, the value inside the square brackets is (57)/(7). Step 4: Substitute this value back into the main expression and perform the final subtraction. 22 - (57)/(7) To subtract, find a common denominator: 22 = (22 × 7)/(7) = (154)/(7) Now subtract: (154)/(7) - (57)/(7) (154 - 57)/(7) (97)/(7) The final answer is (97)/(7).