Question

(3-3,8:5 2/11)*3/17+(18-8 2/3):1 1/6

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression, we need to follow the order of operations, which is typically represented by the acronym PEMDAS:

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

Let's break down the expression step by step:

Step 1: Simplify within the parentheses first: (3 - 3, 8:5 * 2/11) * 3/17 + (18 - 8 2/3) : 1 1/6

Step 2: Perform the division: (3 - 3, 1.6) * 3/17 + (18 - 8.67) : 1 1/6

Note: 8:5 means 8 divided by 5, and 8 2/3 means 8 + 2/3.

Step 3: Simplify further: (0.4) * 3/17 + (9.33) : 1 1/6

Step 4: Perform the multiplication and division from left to right: 0.4 * 3/17 + (9.33) : 1 1/6

0.4 * 3/17 ≈ 0.02352941176470588

Step 5: Continue simplifying: 0.02352941176470588 + (9.33) : 1 1/6

Step 6: Perform the division: 0.02352941176470588 + 9.33 ÷ 1 1/6

To perform the division of 9.33 by 1 1/6, we need to convert 1 1/6 to an improper fraction: 1 1/6 = (6 * 1 + 1)/6 = 7/6

Now, we can continue the calculation: 0.02352941176470588 + 9.33 ÷ 7/6

To divide by a fraction, we multiply by its reciprocal: 0.02352941176470588 + 9.33 * 6/7

Step 7: Complete the multiplication: 0.02352941176470588 + 56/7

Step 8: Find a common denominator for the addition: 0.02352941176470588 + 8

Step 9: Perform the addition: 0.02352941176470588 + 8 ≈ 8.023529411764706

So, the result of the expression is approximately 8.023529411764706.