
10 - 3 3/4 * (2 + 1 2/5 ) * 1 5/9=


Ответы на вопрос

Ответ:
27 2/9.
Объяснение:
вроде так.
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).
Let's break it down step by step:
First, we'll deal with the numbers in parentheses:
(2 + 1 2/5) = 2 + (7/5) = 2 + 1.4 = 3.4
Now, we have:
10 - 3 3/4 * 3.4 * 1 5/9
Next, we'll multiply:
3 3/4 * 3.4 = 15/4 * 3.4 = 51/10 * 34/10 = (51 * 34) / (10 * 10) = 1734 / 100 = 867/50
Now, we have:
10 - (867/50) * 1 5/9
To multiply a whole number by a fraction, you can convert the whole number to a fraction with the same denominator:
1 5/9 = 9/9 + 5/9 = 14/9
Now we have:
10 - (867/50) * (14/9)
Multiply the fractions:
(867/50) * (14/9) = (867 * 14) / (50 * 9) = 12138 / 450
Now, we have:
10 - (12138/450)
To subtract fractions, they need the same denominator:
10 = 450/45 (multiply numerator and denominator by 45)
Subtract the fractions:
(450/45) - (12138/450) = (450/45) - (12138/450)
Find a common denominator, which is 450:
(450/45) - (12138/450) = (450/45) - (12138/450) * (10/10)
Subtract:
(450/45) - (121380/4500) = (4500/450) - (121380/4500)
Now subtract the fractions:
(4500/450) - (121380/4500) = (4500 - 121380) / 4500
Simplify the numerator:
(4500 - 121380) = -116880
So, the final result is:
-116880 / 4500
Now, we can simplify this fraction further. Both the numerator and denominator have a common factor of 60:
-116880 / 4500 = (-1948/75)
So, the final result is -1948/75.


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