Задача 75578 9-1. Нехай # = 202 _ 203 де ® —...

65b60c9e3f7efb2eafdda375

1/28/2024 9:40:07 AM

9-1. Нехай # = 202 _ 203 де ® — нескоротиий. дрб. Знайлить

5f3ea7e3faf909182968ddd9

1/28/2024 1:23:14 PM

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[m]\frac{2024}{2023}=1+\frac{1}{2023}[/m]

[m]\frac{2023}{2024}=1-\frac{1}{2024}[/m]


[m]\frac{2024}{2023}-\frac{2023}{2024}=1+\frac{1}{2023}-(1-\frac{1}{2024})[/m]

[m]\frac{2024}{2023}-\frac{2023}{2024}=1+\frac{1}{2023}-1+\frac{1}{2024}=\frac{2024+2023}{2023\cdot 2024}[/m] ⇒


[m]p=2024+2023=4047[/m]