Question

1 целая 5/14-(2 целых 2/13-8 целых 9/14)​

Answer 1

Ответ точный) Решение на фото

Answer 2

To solve the expression, we'll start by converting all mixed fractions into improper fractions. Then, we'll perform the operations step by step:

Step 1: Convert mixed fractions to improper fractions. 1 and 5/14 = (1 * 14 + 5) / 14 = 19/14 2 and 2/13 = (2 * 13 + 2) / 13 = 28/13 8 and 9/14 = (8 * 14 + 9) / 14 = 121/14

Step 2: Perform the operations from left to right. 19/14 - (28/13 - 121/14)

Step 3: Find a common denominator for all fractions involved, which is the least common multiple (LCM) of 14 and 13, which is 182.

Step 4: Convert all fractions to have the common denominator of 182. (19/14) * (182/182) = 3618/2548 (28/13) * (182/182) = 5096/2548 (121/14) * (182/182) = 22022/2548

Step 5: Simplify the expression. Now, we have 3618/2548 - (5096/2548 - 22022/2548)

Step 6: Perform the operations. 3618/2548 - (5096/2548 - 22022/2548) = 3618/2548 - 16976/2548 + 22022/2548

Step 7: Combine the terms. (3618 - 16976 + 22022) / 2548 = 4074/2548

Step 8: Simplify the fraction, if possible. The fraction 4074/2548 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2548. 4074/2548 = (2 * 2037) / (2 * 1274) = 2037/1274

So, the final result is 2037/1274.