
5 : 5/6 + 1 2/7 · 5 5/6 - 4 3/4


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Ответ:
ответ на фото :) удачки :)




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).
Start by simplifying the multiplication and division within the expression: 5/6 + 1 2/7 * 5 5/6 - 4 3/4
First, deal with the multiplication and division from left to right:
5/6 + 1 2/7 * 5 5/6 - 4 3/4 = 5/6 + 15/7 * 35/6 - 19/4
Now, find the products and simplify:
5/6 + (15/7) * (35/6) - 19/4 = 5/6 + (525/42) * (35/6) - 19/4 = 5/6 + (25/2) * (35/6) - 19/4 = 5/6 + (25 * 35) / (2 * 6) - 19/4 = 5/6 + (875/12) - 19/4
Now, find a common denominator so you can add and subtract the fractions:
The common denominator for 6, 12, and 4 is 12.
5/6 + (875/12) - 19/4 = (10/12) + (875/12) - (57/12)
Add and subtract the fractions:
(10/12) + (875/12) - (57/12) = (10 + 875 - 57) / 12 = 828/12
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:
828/12 = (828 ÷ 12) / (12 ÷ 12) = 69/1 = 69
So, the value of the expression is 69.


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