
2-9/16:3/8-1/8 помогите


Ответы на вопрос

Ответ: 0,375
Пошаговое объяснение:



To solve the expression 2 - 9/16 + 3/8 - 1/8, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression step by step:
1. First, we need to simplify the subtraction 9/16 - 3/8. To subtract fractions, we need a common denominator. The common denominator for 16 and 8 is 16. So, we rewrite the expression as:
9/16 - 3/8 = (9/16) - (3/8) * (2/2) = (9/16) - (6/16) = 3/16
2. Now, we can rewrite the expression as:
2 - 3/16 + 1/8
3. Next, we need to simplify the addition 2 + 1/8. Again, we need a common denominator, which is 8. So, we rewrite the expression as:
2 + 1/8 = (2/1) * (8/8) + (1/8) = 16/8 + 1/8 = 17/8
4. Finally, we can rewrite the expression as:
17/8 - 3/16
To subtract fractions, we need a common denominator. The common denominator for 8 and 16 is 16. So, we rewrite the expression as:
17/8 - 3/16 = (17/8) * (2/2) - (3/16) = 34/16 - 3/16 = 31/16
Therefore, the solution to the expression 2 - 9/16 + 3/8 - 1/8 is 31/16.
I hope this helps! Let me know if you have any further questions.


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