Question

6 13/24 - ((14 7/24 - 10 31/48)-(2 3/4- 1 7/12))- 1 1/16 решить пример

Answer 1

Ответ:

1069/24

Или же

44,5416

Пошаговое объяснение:

Answer 2

To solve the given expression, let's proceed step by step:

1. Convert all mixed fractions into improper fractions: 6 13/24 = (6 * 24 + 13) / 24 = 157/24 14 7/24 = (14 * 24 + 7) / 24 = 343/24 10 31/48 = (10 * 48 + 31) / 48 = 511/48 2 3/4 = (2 * 4 + 3) / 4 = 11/4 1 7/12 = (1 * 12 + 7) / 12 = 19/12 1 1/16 = (1 * 16 + 1) / 16 = 17/16

2. Simplify the expression: 157/24 - ((343/24 - 511/48) - (11/4 - 19/12)) - 17/16

3. Perform the operations inside the innermost parentheses first: 157/24 - ((343/24 - 511/48) - (11/4 - 19/12)) - 17/16 = 157/24 - ((343/24 - 511/48) - (33/12 - 19/12)) - 17/16 = 157/24 - ((343/24 - 511/48) - 14/12) - 17/16 = 157/24 - ((343/24 - 511/48) - 7/6) - 17/16

4. Next, work on the operation inside the second set of parentheses: 157/24 - ((343/24 - 511/48) - 7/6) - 17/16 = 157/24 - (343/24 - (511/48 + 7/6)) - 17/16

5. Add the fractions inside the innermost parentheses: 157/24 - (343/24 - (511/48 + 7/6)) - 17/16 = 157/24 - (343/24 - (22/48 + 56/48)) - 17/16 = 157/24 - (343/24 - 78/48) - 17/16 = 157/24 - (265/48) - 17/16

6. Find a common denominator for the remaining fractions (24 * 16 = 384): 157/24 - (265/48) - 17/16 = (157/24) * (16/16) - (265/48) - (17/16) * (24/24) = (2512/384) - (265/48) - (408/384)

7. Convert all fractions to have the same denominator and then perform the subtraction: (2512/384) - (265/48) - (408/384) = (2512/384) - (5296/384) - (408/384) = (2512 - 5296 - 408) / 384 = (-3032) / 384 = -95/12

So, the final answer is -95/12.