3*1/4+2*1/6):2/*3/5-2/3*2*1/4+5*1/6
Ответы на вопрос
To solve this expression, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's the step-by-step solution:
Simplify within parentheses: 3 * 1/4 + 2 * 1/6 = 3/4 + 2/6
Find a common denominator for the fractions in the parentheses, which is 12: (3/4) * (3/3) = 9/12 (2/6) * (2/2) = 4/12
Combine the fractions within the parentheses: 9/12 + 4/12 = 13/12
Simplify the division: 2 / (3/5) = 2 * (5/3) = 10/3
Perform the remaining multiplications and divisions in order from left to right: 13/12 : 10/3 = 13/12 * 3/10 = 39/120 = 13/40
Now, we move on to the second part of the expression: 2/3 * 2 * 1/4 = 2/3 * 2/1 * 1/4
Multiply the fractions: (2/3) * (2/1) * (1/4) = 4/12 = 1/3
Lastly, calculate the remaining multiplication and addition: 5 * 1/6 = 5/6
Finally, subtract the result of step 8 from the result of step 5: 13/40 - 5/6
To subtract fractions, find a common denominator (in this case, 40): (13/40) - (5/6) = (13/40) - (33/40)
Now, subtract the fractions: 13/40 - 33/40 = -20/40 = -1/2
So, the final result of the expression is -1/2.
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