
8 7/12-4 5/18-1 1/4 решите умоляю полностью


Ответы на вопрос




To solve the expression 8 + 7/12 - 4 + 5/18 - 1 + 1/4, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Let's break down the expression step by step:
1. First, we need to simplify the addition and subtraction of whole numbers: 8 - 4 - 1 = 3.
2. Next, we need to simplify the addition and subtraction of fractions. To do this, we need to find a common denominator for the fractions involved. In this case, the common denominator is 36 (12 * 3 = 36 and 18 * 2 = 36).
- 7/12 + 5/18 + 1/4 = (7 * 3)/(12 * 3) + (5 * 2)/(18 * 2) + 9/36 = 21/36 + 10/36 + 9/36 = (21 + 10 + 9)/36 = 40/36
3. Now, we have a mixed number (3) and an improper fraction (40/36). To add them together, we need to convert the mixed number to an improper fraction.
- 3 = 3/1
- 3/1 + 40/36 = (3 * 36)/(1 * 36) + 40/36 = 108/36 + 40/36 = (108 + 40)/36 = 148/36
4. Finally, we can simplify the fraction 148/36 by finding the greatest common divisor (GCD) of the numerator and denominator, and dividing both by the GCD.
- The GCD of 148 and 36 is 4.
- 148/36 = (148/4)/(36/4) = 37/9
Therefore, the solution to the expression 8 + 7/12 - 4 + 5/18 - 1 + 1/4 is 37/9.
Please note that the solution is provided based on the given expression. If there are any additional requirements or constraints, please let me know.


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