Question

2,2×(3,428+1,572)×(13-12 4/11)×(40 2/3:2 7/27-16 4/9)×4,5=

Answer 1

-14060/9 ; -1562 2/3

Answer 2

To solve the given expression, follow the order of operations (PEMDAS/BODMAS):

P - Parentheses first E - Exponents (if any) MD - Multiplication and Division (from left to right) AS - Addition and Subtraction (from left to right)

Let's start:

Step 1: Evaluate the expression inside the parentheses. 3,428 + 1,572 = 5

Step 2: Convert the mixed numbers into improper fractions: 12 4/11 = (11 * 12 + 4) / 11 = 136 / 11 40 2/3 = (3 * 40 + 2) / 3 = 122 / 3 2 7/27 = (27 * 2 + 7) / 27 = 61 / 27 16 4/9 = (9 * 16 + 4) / 9 = 148 / 9

Step 3: Evaluate the expression inside the last set of parentheses. (122 / 3) ÷ (61 / 27 - 148 / 9)

To divide by a fraction, you multiply by its reciprocal: (122 / 3) × (27 / 61) = (122 × 27) / (3 × 61) = 3306 / 183

Step 4: Evaluate the entire expression: 2 × 5 × (13 - 136 / 11) × (3306 / 183) × 4.5

Step 5: Continue with the multiplication and subtraction: 2 × 5 × (13 - 136 / 11) × (3306 / 183) × 4.5 = 2 × 5 × (143 / 11) × (3306 / 183) × 4.5

Step 6: More simplification: 2 × 5 × (143 / 11) × (3306 / 183) × 4.5 = (10) × (143 / 11) × (3306 / 183) × 4.5

Step 7: Continue the multiplication: (10) × (143 / 11) × (3306 / 183) × 4.5 = (10) × (13) × (18) × 4.5 = 13,230

So, the final result of the expression is 13,230.