Question

Решите пожалуйста 2 примера с решением. 1. 24-(3 2\5 - 1 7\9) : (1\2-1\3), 2. 4*(2 1\2 + 1 3\4) - (6 2\3 + 4 4\5) : 2 Даю 30 баллов.

Answer 1

24-(3 2/5-1 7/9):(1/2-1/3)=14 4/15
1) 3 2/5-1 7/9=3 18/45-1 35/45=2 63/45-1 35/45=1 28/45
2) 1/2-1/3=3/6-2/6=1/6
3) 1 28/45:1/6=73/45:1/6=146/15=9 11/15
4) 24-9 11/15=14 4/15


4*(2 1/2+1 3/4)-(6 2/3+4 4/5):2=11 4/15
1) 2 1/2+1 3/4=2 2/4+1 3/4=3 5/4=4 1/4
2) 6 2/3+4 4/5=6 10/15+4 12/15=10 22/15=11 7/15
3) 4*4 1/4=4*17/4=17
5) 11 7/15:2=172/15:2=172/30=5 22/30=5 11/15
6) 17-5 11/15=11 4/15

Answer 2

Problem 1: 24 - (3 + 2/5 - 1 + 7/9) : (1/2 - 1/3)

To solve this problem, we'll follow the order of operations (PEMDAS/BODMAS) to simplify the expression step by step.

Step 1: Simplify the expression inside the parentheses. - 3 + 2/5 - 1 + 7/9 = 3 + 0.4 - 1 + 0.7778 = 3.4 - 1 + 0.7778 = 2.4 + 0.7778 = 3.1778

Step 2: Simplify the expression inside the division. - 1/2 - 1/3 = 0.5 - 0.3333 = 0.1667

Step 3: Divide the result from Step 1 by the result from Step 2. - 3.1778 / 0.1667 = 19.0672

Step 4: Subtract the result from Step 3 from 24. - 24 - 19.0672 = 4.9328

Therefore, the solution to the first problem is 4.9328.

Problem 2: 4 * (2 + 1/2 + 1 + 3/4) - (6 + 2/3 + 4 + 4/5) : 2

Again, we'll follow the order of operations to simplify the expression.

Step 1: Simplify the expression inside the parentheses. - 2 + 1/2 + 1 + 3/4 = 2 + 0.5 + 1 + 0.75 = 4.25

Step 2: Simplify the expression inside the second set of parentheses. - 6 + 2/3 + 4 + 4/5 = 6 + 0.6667 + 4 + 0.8 = 11.4667

Step 3: Multiply the result from Step 1 by 4. - 4 * 4.25 = 17

Step 4: Subtract the result from Step 2 from the result from Step 3. - 17 - 11.4667 = 5.5333

Step 5: Divide the result from Step 4 by 2. - 5.5333 / 2 = 2.7667

Therefore, the solution to the second problem is 2.7667.

I hope this helps! Let me know if you have any further questions.