Let's break this down step by step:
Now we can substitute these values back into the expression:
2\59 - 2/5 * (99/28 - 1 / (1 + 10 / 49)) : 2
Now the expression becomes:
2\59 - 2/5 * (4469/1652) : 2
61 - 4469/4130 : 2
61 - 4469/4130 : 2 = 61 - 4469/4130 * 2
Therefore, the final answer is 58 242/4130.
Let's break this down step by step:
First let's simplify the expression within the parentheses3 15/28 = (3 * 28 + 15) / 28 = (84 + 15) / 28 = 99 / 2
9/28 = 9 / 28
Now we can substitute these values back into the expression:
2\59 - 2/5 * (99/28 - 1 / (1 + 10 / 49)) : 2
Next, let's simplify the expression inside the parentheses1 + 10/49 = (49 + 10) / 49 = 59 / 4
1 / (59 / 49) = 1 49 / 59 = 49 / 5
(99/28) - (49/59) = (9959 - 2849) / (2859) = (5841 - 1372) / 1652 = 4469/1652
Now the expression becomes:
2\59 - 2/5 * (4469/1652) : 2
Now let's simplify the expression2\59 = 2 + 59 = 6
2/5 (4469/1652) = 2 (4469/1652) / 5 = (8938/1652) / 5 = 8938 / (1652 * 5) = 8938 / 8260 = 4469 / 4130
Now the expression becomes:
61 - 4469/4130 : 2
Now let's simplify further4469/4130 = (4469 / 4130) * (100 / 100) = (446900 / 413000) = 4469 / 4130
Now the expression becomes:
61 - 4469/4130 : 2 = 61 - 4469/4130 * 2
Finally, let's compute the final answer61 - 4469/4130 2 = 61 - (8938 / 4130) = (61 4130 - 8938) / 4130 = (250330 - 8938) / 4130 = 241392 / 4130 = 58 242/4130
Therefore, the final answer is 58 242/4130.