To solve this, we will first simplify within the parentheses:
3 3/4:3 = 15/4:3 = (15/4) / 3 = (15/4) * (1/3) = 15/12 = 5/4
86,45:24 = 86.45/24 = 3.60208
Now, we will plug these values back into the original expression:
12-13/20 - (5/4 + 3.60208 + 7) * 2 2/5
First, let's simplify the parentheses:
5/4 + 3.60208 + 7 = 5/4 + 36.0208/10 + 70/10 = 15/12 + 36.0208 + 70 = 36.7708
Now, we plug the simplified value back into the expression:
12 - 13/20 - 36.7708 * 2 2/5
Next, simplify the multiplication:
36.7708 * 2 = 73.5416
Now, let's calculate 2 2/5 as an improper fraction:
2 2/5 = 5*2 + 2 / 5 = 12/5
Now, simplify the expression:
12 - 13/20 - 73.5416 * 12/5
Perform the multiplication:
73.5416 * 12/5 = 176.09984
Now, let's simplify the final expression:
12 - 13/20 - 176.09984
Convert 13/20 to a decimal:
13/20 = 0.65
Now calculate the final result:
12 - 0.65 - 176.09984 ≈ -164.75
Therefore, the final result is approximately -164.75.
To solve this, we will first simplify within the parentheses:
3 3/4:3 = 15/4:3 = (15/4) / 3 = (15/4) * (1/3) = 15/12 = 5/4
86,45:24 = 86.45/24 = 3.60208
Now, we will plug these values back into the original expression:
12-13/20 - (5/4 + 3.60208 + 7) * 2 2/5
First, let's simplify the parentheses:
5/4 + 3.60208 + 7 = 5/4 + 36.0208/10 + 70/10 = 15/12 + 36.0208 + 70 = 36.7708
Now, we plug the simplified value back into the expression:
12 - 13/20 - 36.7708 * 2 2/5
Next, simplify the multiplication:
36.7708 * 2 = 73.5416
Now, let's calculate 2 2/5 as an improper fraction:
2 2/5 = 5*2 + 2 / 5 = 12/5
Now, simplify the expression:
12 - 13/20 - 73.5416 * 12/5
Perform the multiplication:
73.5416 * 12/5 = 176.09984
Now, let's simplify the final expression:
12 - 13/20 - 176.09984
Convert 13/20 to a decimal:
13/20 = 0.65
Now calculate the final result:
12 - 0.65 - 176.09984 ≈ -164.75
Therefore, the final result is approximately -164.75.