
24/39(1/2+7/12)-8/9:13/12


Ответы на вопрос

Ответ:0,66096866096
Пошаговое объяснение: если сократить будет 0,660



Ответ:
-2/13
Пошаговое объяснение:




To solve this expression, 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 expression, there are no exponents or square roots, so we'll start with the parentheses and then perform multiplication and division from left to right:
Begin with the expression inside the parentheses: (1/2 + 7/12)
First, find a common denominator, which is 12 in this case: (6/12 + 7/12)
Add the fractions with the common denominator: (13/12)
Now, we have the expression as follows: 24/39 * (13/12) - 8/9 ÷ 13/12
Perform multiplication and division from left to right: (24/39 * 13/12) - (8/9 ÷ 13/12)
First, calculate 24/39 * 13/12: (8/13) * (13/12) = (8/12)
Now, we have: (8/12) - (8/9 ÷ 13/12)
Next, calculate the division 8/9 ÷ 13/12: (8/12) - (8/9 ÷ 13/12)
To divide fractions, multiply by the reciprocal of the divisor: (8/12) - (8/9 * 12/13)
Now, calculate the products: (8/12) - (8/9 * 12/13) = (8/12) - (96/117)
Find a common denominator to subtract the fractions: (8/12) - (96/117)
To find a common denominator, you can express 12 as 36/3: (8/36) - (96/117)
Now that both fractions have a common denominator of 36, subtract them: (8/36) - (96/117)
To subtract fractions, they must have the same denominator, so you need to find a common denominator. In this case, the least common multiple of 36 and 117 is 468:
(8/36) * (13/13) - (96/117) * (4/4) = (104/468) - (384/468)
Subtract the fractions with the common denominator: (104/468) - (384/468) = (-280/468)
Simplify the fraction: (-280/468) can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4: (-70/117)
So, the result of the expression is -70/117.


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