
(1/4-5/6)÷2.1/3+1/6×3/4


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Ответ:
жкзвдслізузалцзхцвбьвдцзцлц цвот




To simplify the expression (1/4 - 5/6) ÷ (2.1/3 + 1/6 × 3/4), you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, there are no parentheses, exponents, or square roots, so we'll perform the operations in the following order:
First, simplify the fractions inside the expression:
(1/4 - 5/6) ÷ (2.1/3 + 1/6 × 3/4)
To subtract fractions, you need a common denominator, which in this case is 12:
(3/12 - 10/12) ÷ (2.1/3 + 1/6 × 3/4)
Now, subtract the fractions in the numerator:
(-7/12) ÷ (2.1/3 + 1/6 × 3/4)
Next, perform any multiplications and divisions:
(-7/12) ÷ (2.1/3 + 1/6 × 3/4)
To divide by a fraction, you can multiply by its reciprocal. So, divide by (2.1/3) is the same as multiplying by (3/2.1):
(-7/12) × (3/2.1 + 1/6 × 3/4)
Now, let's simplify the terms inside the parentheses:
(-7/12) × (1.42857 + 0.125)
(-7/12) × (1.55357)
Finally, perform the multiplication:
(-7/12) × (1.55357)
≈ -0.9114 (rounded to four decimal places)
So, the simplified value of the expression is approximately -0.9114.


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