Question

4 3/5 ×(7-12 1/12)+12 3/5×(4 3/5-7)

Answer 1

Ответ:

12.84

Пошаговое объяснение:

Answer 2

To solve the expression, we'll follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break it down step by step:

Step 1: Simplify within the parentheses 7 - 12 1/12 = 6 11/12

4 3/5 - 7 = -2 2/5

Step 2: Perform the multiplications 4 3/5 × (6 11/12) = 28/5 × 83/12 = (28 × 83)/(5 × 12) = 2324/60 = 38 44/60 = 38 11/15

12 3/5 × (-2 2/5) = 63/5 × -12/5 = -(63 × 12)/(5 × 5) = -756/25 = -30 6/25

Step 3: Add the results of the multiplications 38 11/15 + (-30 6/25) = 38 11/15 - 30 6/25

Now, we need to find a common denominator between 15 and 25, which is 75. So let's convert both fractions:

(38 × 5 + 11)/15 - (30 × 3 + 6)/25 = (190 + 11)/15 - (90 + 6)/25 = 201/15 - 96/25

Step 4: Perform the subtraction Now, we need a common denominator between 15 and 25, which is 75.

(201 × 5 - 96 × 3)/(15 × 5) = (1005 - 288)/75 = 717/75 = 9 42/75 = 9 14/25

So, the final result of the expression is 9 14/25.