
5 8/9÷1 17/36+1 1/4×5/21=


Ответы на вопрос

Ответ:
4 25/84
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 case, you don't have parentheses or exponents, so you can perform multiplication and division from left to right and then addition.
Let's break it down step by step:
First, simplify the multiplication and division from left to right:
5 8/9 ÷ 1 17/36 + 1 1/4 × 5/21
Start with the division:
(5 8/9) ÷ (1 17/36) + (1 1/4) × (5/21)
Now, let's perform the division:
To divide mixed numbers, convert them to improper fractions and then divide:
(53/9) ÷ (53/36) + (5/4) × (5/21)
Now that we have converted the mixed numbers to improper fractions, let's divide and multiply:
(53/9) ÷ (53/36) + (5/4) × (5/21)
Now, we'll perform the division and multiplication:
(53/9) ÷ (53/36) = (53/9) × (36/53) = 36/9 = 4
(5/4) × (5/21) = (25/84)
Now, we can add the results:
4 + 25/84
To add these fractions, you need a common denominator, which is 84 in this case:
(4 * 84/84) + (25/84)
Now, you can add the fractions:
(336/84) + (25/84)
Add the numerators:
336 + 25 = 361
The final fraction is 361/84.
So, the simplified result of the expression is 361/84.


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