
(5,625* 1 1/3-3 11/18:5/9):1 2/3


Ответы на вопрос

Ответ:
(5,625*1 1/3-3 11/18:5/9):1 2/3=3/5 или 0,6
Пошаговое объяснение:
5,625*1 1/3=7 1/2
3 11/18:5/9=6 1/2
7 1/2-6 1/2=1
1:1 2/3=3/5 или 0,6



To solve this expression, 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).
Your expression is:
(5,625 * 1 1/3 - 3 11/18 ÷ 5/9) ÷ 1 2/3
First, simplify the terms within parentheses:
1 1/3 as an improper fraction is 4/3. So, 5,625 * 4/3 is 7,500.
3 11/18 as an improper fraction is 59/18. Now, divide this by 5/9. To divide fractions, you can multiply by the reciprocal of the second fraction. So, 59/18 ÷ 5/9 becomes (59/18) * (9/5) = (59/18) * (9/5) = 531/90.
So, the expression becomes:
(7,500 - 531/90) ÷ 1 2/3
Now, subtract 531/90 from 7,500:
7,500 - 531/90 = 7,500 - 5.9 = 7,494.1
Finally, divide this result by 1 2/3:
To divide by a mixed number, convert it to an improper fraction first. 1 2/3 as an improper fraction is 5/3. So, the final calculation is:
7,494.1 ÷ 5/3
To divide by a fraction, multiply by its reciprocal:
7,494.1 * 3/5 = 4,496.46
So, the result of the expression is approximately 4,496.46.


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