Question

((4,625-13/18•9/26):2 1/4 + 2 1/2:1,25:6 3/4):1 53/68 решите

Answer 1

((4,625-13/18•9/26):2 1/4 + 2 1/2:1,25:6 3/4):1 53/68=1 7/27

1) 13/18*9/26=1/4

2) 4,625-1/4=4,625-0,25=4,375

3) 4,375:2 1/4=4375/1000:9/4=4375/1000*4/9=35/18

4) 2 1/2:1,25=5/2:125/100=5/2*100/125=2

5)2:6 3/4=2:27/4=2*4/27=8/27

6)35/18+8/27=105/54+16/54=121/54

7)121/54:1 53/68=121/54:121/68=121/54*68/121=34/27=1 7/27

Answer 2

To solve this expression, let's break it down step by step:

Step 1: Simplify the innermost expression in parentheses. ((4,625 - 13/18 * 9/26) : 2 1/4 + 2 1/2 : 1.25 : 6 3/4) : 1 53/68

Step 2: Perform the operations inside the parentheses. First, let's calculate 4,625 - (13/18 * 9/26): 4.625 - (13/18 * 9/26) ≈ 4.625 - 0.22862318841 ≈ 4.39637681159

Step 3: Divide the result from Step 2 by 2 1/4: 4.39637681159 : 2 1/4

To divide a fraction by a mixed number, convert the mixed number into an improper fraction: 2 1/4 = (2 * 4 + 1) / 4 = 9/4

Now, divide: 4.39637681159 ÷ 9/4 ≈ 4.39637681159 * 4/9 ≈ 1.95411600573

Step 4: Add 2 1/2 to the result from Step 3: 1.95411600573 + 2 1/2

Again, convert the mixed number into an improper fraction: 2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, add: 1.95411600573 + 5/2 ≈ 1.95411600573 + 2.5 ≈ 4.45411600573

Step 5: Divide the result from Step 4 by 1.25: 4.45411600573 : 1.25 ≈ 3.56329280458

Step 6: Divide the result from Step 5 by 6 3/4: 3.56329280458 : 6 3/4

Convert 6 3/4 into an improper fraction: 6 3/4 = (6 * 4 + 3) / 4 = 27/4

Now, divide: 3.56329280458 ÷ 27/4 ≈ 3.56329280458 * 4/27 ≈ 0.527469838529

Step 7: Finally, divide the result from Step 6 by 1 53/68: 0.527469838529 : 1 53/68

Convert 1 53/68 into an improper fraction: 1 53/68 = (1 * 68 + 53) / 68 = 121/68

Now, divide: 0.527469838529 ÷ 121/68 ≈ 0.527469838529 * 68/121 ≈ 0.296034086124

So, the final result of the expression is approximately 0.296034086124.