Let's break down and solve the expression step by step:
Given expression:
395⋅(539⋅35+325⋅539)+(−730⋅117+117⋅316)⋅5−317−(15268−724)−(1542−4)−(69145⋅2936)÷235+25⋅0.375⋅(−10)⋅1
Now, let's simplify the expression in parts:
- First part:
395⋅(539⋅35+325⋅539)
First, simplify inside the brackets:
539⋅35=15195=13
325⋅539=15975=65
Adding them:
13+65=78
Now, multiply by 395:
395⋅78=39390=10
- Second part:
(−730⋅117+117⋅316)⋅5
First, simplify inside the brackets:
−730⋅117=−77210=−1130
117⋅316=33112
Adding them:
−1130+33112=−3390+33112=3322=32
Now, multiply by 5:
32⋅5=310
-
Third part:
317
-
Fourth part:
(15268−724)
First, find a common denominator and subtract:
105268⋅7−24⋅15=1051876−360=1051516
- Fifth part:
(1542−4)
Simplify by finding a common denominator:
1542−60=−1518=−56
- Sixth part:
(69145⋅2936)÷235
First, multiply the fractions:
69⋅29145⋅36=20015220
Then, divide:
20015220÷235=2001⋅55220⋅23=10005120060=12
- Seventh part:
25⋅0.375⋅(−10)⋅1=25⋅(−3.75)=−93.75
Finally, combine all the parts:
10+310−317−1051516−56−12−93.75
Let's compute the final result.The final result of the given expression is approximately −113.72.
Would you like further details or have any other questions?
Here are some related questions you might find interesting:
- How do you simplify complex fractions?
- What is the importance of order of operations in evaluating expressions?
- How do you convert fractions to decimals?
- Can you explain how to find a common denominator?
- What are the steps for multiplying and dividing fractions?
- How does distribution work with fractions and mixed numbers?
- What is the difference between proper fractions, improper fractions, and mixed numbers?
- How can negative numbers impact the result in complex expressions?
Tip: Always carefully manage the sign of numbers, especially in complex expressions, to avoid calculation errors.