
7)(11 5/8+7 1/6):3 5/12


Ответы на вопрос





To solve this expression, we'll need to follow the order of operations, which is typically remembered using the acronym PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (performed left to right)
- Addition and Subtraction (performed left to right)
First, we'll add the two mixed numbers inside the parentheses:
11 5/8 + 7 1/6
To do this, we need to find a common denominator. The smallest common multiple of 6 and 8 is 24, so we'll convert both fractions to have a denominator of 24:
11 15/24 + 7 4/24
Now we can add the whole numbers separately from the fractions:
18 + 1/24
Next, we'll divide this sum by the mixed number outside the parentheses:
3 5/12
To do this, we need to convert the mixed number to an improper fraction:
3 5/12 = 3 + 5/12 = 36/12 + 5/12 = 41/12
Now we can divide by multiplying by the reciprocal:
(18 1/24) ÷ (3 5/12) = (18 + 1/24) ÷ (3 + 5/12) = (18 + 1/24) × (12/41)
Simplifying the numerator first, we get:
18 × 12 + 1 = 217
So the expression simplifies to:
217/41
This fraction cannot be simplified any further, so this is our final answer.


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