Question

2,25+27/40*((6 7/12- 3 17/36)*2,5-4 1/3:0,65

Answer 1

Выходит, Ответ: -17.37

Answer 2

To solve the given expression, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break it down step by step:

Step 1: Perform the operations inside the parentheses. (6 7/12 - 3 17/36) = (79/12 - 125/36)

Step 2: Find a common denominator for the fractions inside the parentheses. The common denominator for 12 and 36 is 36. So, we convert both fractions: (79/12) = (79/12) * (3/3) = (237/36) (125/36) = (125/36) * (1/1) = (125/36)

Now, we can rewrite the expression as: (237/36 - 125/36)

Step 3: Perform the subtraction inside the parentheses. (237/36 - 125/36) = (112/36) = (14/4) = 3.5

Step 4: Perform the remaining operations in the expression from left to right. 2.25 + 27/40 * (3.5 * 2.5 - 4 1/3 : 0.65)

Step 5: Perform the division inside the expression. 4 1/3 : 0.65 = (13/3) : 0.65 = (13/3) / (65/100) = (13/3) * (100/65) = (13/3) * (20/13) = 20/3 ≈ 6.6667

Step 6: Perform the multiplication inside the expression. 3.5 * 2.5 = 8.75

Step 7: Replace the expressions with their values. 2.25 + 27/40 * (8.75 - 6.6667)

Step 8: Perform the subtraction inside the expression. 8.75 - 6.6667 ≈ 2.0833

Step 9: Perform the multiplication inside the expression. 27/40 * 2.0833 ≈ 1.4549

Step 10: Perform the addition inside the expression. 2.25 + 1.4549 ≈ 3.7049

The final result is approximately 3.7049.