
11/12 * 3 3/7 + ( 3 1/6 - 2 7/15) * 2 6/7 помогите решить


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Ответ:
відповідь: 333/140...



Calculation of the Expression
To solve the given expression, we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).The given expression is: 11/12 * 3 + 3/7 + (3 + 1/6 - 2 + 7/15) * 2 + 6/7
Let's break it down step by step.
1. First, we'll simplify the expression within the parentheses: 3 + 1/6 - 2 + 7/15 This simplifies to: -2 + 3 + 1/6 + 7/15 Combining the whole numbers and fractions: 1 + 1/6 + 7/15 Finding a common denominator for the fractions: 1 + 5/30 + 14/30 Adding the fractions: 1 + 19/30 So, the expression within the parentheses simplifies to: 1 + 19/30
2. Now, we'll substitute the simplified expression back into the original expression: 11/12 * 3 + 3/7 + (1 + 19/30) * 2 + 6/7
3. Next, we'll calculate the multiplication and addition within the parentheses: (1 + 19/30) * 2 This simplifies to: 2 + 38/30 Finding a common denominator for the whole number and fraction: 2 + 38/30 = 2 + 19/15 = 2 + 1 + 4/15 = 3 + 4/15
4. Now, we'll substitute the simplified expression back into the original expression: 11/12 * 3 + 3/7 + 3 + 4/15 + 6/7
5. Finally, we'll calculate the remaining addition and multiplication: 11/12 * 3 = 11/4 3 + 3/7 = 24/7 3 + 4/15 = 3 + 4/15 6/7 = 6/7
Final Result
After performing all the operations, the final result of the given expression: 11/4 + 24/7 + 3 + 4/15 + 6/7 = 11/4 + 24/7 + 3 + 4/15 + 6/7Let me know if you need further assistance with anything else!


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