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 interpreted as: 74 ÷ 85 ÷ 49 - (41 - 35 ÷ 9 × 2) Step 1: Evaluate the expression inside the parentheses (41 - 35 ÷ 9 × 2). Within the parentheses, perform division and multiplication from left to right. First, perform the division: 35 ÷ 9 = (35)/(9) Substitute this back: (41 - (35)/(9) × 2) Next, perform the multiplication: (35)/(9) × 2 = (70)/(9) Substitute this back: (41 - (70)/(9)) Now, perform the subtraction. To do this, find a common denominator: 41 = (41 × 9)/(9) = (369)/(9) So, the expression inside the parentheses becomes: (369)/(9) - (70)/(9) = (369 - 70)/(9) = (299)/(9) Step 2: Evaluate the first part of the main expression: 74 ÷ 85 ÷ 49. Perform division from left to right. First, 74 ÷ 85: 74 ÷ 85 = (74)/(85) Next, divide this result by 49: (74)/(85) ÷ 49 = (74)/(85) × (1)/(49) = (74)/(85 × 49) Calculate the product in the denominator: 85 × 49 = 4165 So, the first part of the expression is (74)/(4165). Step 3: Substitute the results from Step 1 and Step 2 back into the main expression and perform the final subtraction. The expression is now: (74)/(4165) - (299)/(9) To subtract these fractions, find a common denominator, which is the product of the denominators: 4165 × 9 = 37485. Convert the first fraction: (74)/(4165) = (74 × 9)/(4165 × 9) = (666)/(37485) Convert the second fraction: (299)/(9) = (299 × 4165)/(9 × 4165) = (1245335)/(37485) Now, perform the subtraction: (666)/(37485) - (1245335)/(37485) = (666 - 1245335)/(37485) 666 - 1245335 = -1244669 So, the final result is: (-1244669)/(37485) The final answer is (-1244669)/(37485).