Question

6 13/22 +5 5/11 : 4 - 5/132 : (-1/6) + (-5/6) во второй степени : 1 7/18

Answer 1

По действиям:
1) -5/6 · (-5/6) = 25/36
2) 5 5/11 : 4 = 60/11 · 1/4 = 15/11
3) 5/132 : (-1/6) = 5/132 · (-6/1) = - 5/22
4) 25/36 : 17/18 = 25/36 · 18/17 = 25/34
5) 6 13/22 + 15/11 = 6 13/22 + 30/22 = 6 43/22
6) 6 43/22 - (-5/22)  = 6 43/22 + 5/22 = 6 48/22
7) 6 48/22 + 25/34 = 6 816/374 + 275/374 = 6 1091/374 = 8 343/374

Answer 2

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

1. Convert all the mixed numbers to improper fractions: 6 13/22 = (6 * 22 + 13) / 22 = 145 / 22 5 5/11 = (5 * 11 + 5) / 11 = 60 / 11 1 7/18 = (1 * 18 + 7) / 18 = 25 / 18

2. Perform the addition and subtraction operations from left to right: 145 / 22 + 60 / 11 = (145 * 11 + 60 * 22) / (22 * 11) = 2755 / 242 2755 / 242 - 5 / 132 = (2755 * 132 - 5 * 242) / (242 * 132) = 360510 / 31824 = 205 / 18

3. Calculate the square of the result: (205 / 18)^2 = (205^2) / (18^2) = 42025 / 324

4. Perform the addition: (-1/6) + (-5/6) = (-1 - 5) / 6 = -6 / 6 = -1

5. Perform the division: 42025 / 324 / -1 = (42025 / 324) * (-1) = -42025 / 324

6. Perform the final addition: -42025 / 324 + 25 / 18 = (-42025 * 18 + 25 * 324) / (324 * 18) = -757650 + 8100 / 5832 = -749550 / 5832

Therefore, the final result is -749550 / 5832.