
5-(2,8-3/7:9/14)•1,5


Ответы на вопрос




To solve the expression, follow the order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's solve the expression step by step:
Inside the parentheses: 2 + (8 - 3/7 : 9/14)
Perform the division inside the parentheses: 2 + (8 - (3/7) ÷ (9/14))
Simplify the division inside the parentheses: 2 + (8 - (3/7) × (14/9))
Multiply the fractions: 2 + (8 - (42/63))
Convert the whole number to a fraction with a common denominator (63): 2 + (504/63 - 42/63)
Combine the fractions inside the parentheses: 2 + (462/63)
Find the common denominator for the addition: 2 + (462/63) = 2 + (462/63) * (9/9)
Convert the whole number to a fraction with the common denominator (63): 2 + (924/126)
Find the common denominator for the addition: 2 + (924/126) = 2 + (924/126) * (2/2)
Convert the whole number to a fraction with the common denominator (126): 2 + (1848/252)
Find the common denominator for the addition: 2 + (1848/252) = 2 + (1848/252) * (2/2)
Convert the whole number to a fraction with the common denominator (252): 2 + (3696/252)
Simplify the mixed number (if possible): 2 + (462/31)
Find the common denominator for the addition: 2 + (462/31) = 2 + (462/31) * (8/8)
Convert the whole number to a fraction with the common denominator (31): 2 + (924/31)
Perform the addition: 2 + 29.8064516...
So, the result of the expression is approximately 31.8064516.


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