
5\6+7\12:7\2 -1\3*6\5-5\6*2\252,5*3,5-0,352,1*3,5\4,9400*0,004*40


Ответы на вопрос

как-то так, надеюсь понятно




To simplify the expression, let's perform the operations step by step:
Step 1: Convert all the fractions to a common denominator: We can choose the common denominator as 12 since it is a multiple of 6, 12, and 2.
5/6 + 7/12 = (5 * 2)/(6 * 2) + 7/12 = 10/12 + 7/12 = 17/12
Step 2: Perform the addition and subtraction operations:
(17/12) - (1/3) * (6/5) - (5/6) * (2/252) = 17/12 - 1/3 * 6/5 - 5/6 * 2/252
Step 3: Perform the multiplication:
1/3 * 6/5 = (1 * 6)/(3 * 5) = 6/15 = 2/5
5/6 * 2/252 = (5 * 2)/(6 * 252) = 10/1512 = 5/756
Now the expression becomes:
17/12 - 2/5 - 5/756
Step 4: Convert all fractions to a common denominator again:
Since 12 is also a multiple of 5 and 756, we can use it as the common denominator.
17/12 - 2/5 - 5/756 = (17 * 63)/(12 * 63) - (2 * 1512)/(5 * 1512) - 5/756
Step 5: Perform the subtraction:
(17 * 63)/(12 * 63) - (2 * 1512)/(5 * 1512) - 5/756 = (1071 - 3024 - 5) / 756 = -1958 / 756
Step 6: Reduce the fraction to its simplest form:
-1958 / 756 = -(1958/2) / (756/2) = -979 / 378
Now let's proceed with the next part of the expression:
5 * 3.5 - 0.352 + 1 * 3.5 / (4.9400 * 0.004 * 40)
Step 1: Perform the multiplication and addition:
5 * 3.5 = 17.5 1 * 3.5 = 3.5
Now the expression becomes:
17.5 - 0.352 + 3.5 / (4.9400 * 0.004 * 40)
Step 2: Perform the division and multiplication:
4.9400 * 0.004 * 40 = 0.7872
Now the expression becomes:
17.5 - 0.352 + 3.5 / 0.7872
Step 3: Perform the division:
3.5 / 0.7872 ≈ 4.44 (rounded to two decimal places)
Now the expression becomes:
17.5 - 0.352 + 4.44
Step 4: Perform the subtraction:
17.5 - 0.352 + 4.44 ≈ 21.588 (rounded to three decimal places)
Putting it all together, the simplified expression is approximately:
-979 / 378 + 21.588 ≈ 20.152 (rounded to three decimal places).


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