Question

Представьте в виде обыкновенной дроби бесконечную периодическую дробь 0,1818....

Answer 1

1818/10000=909/5000 примерно

Answer 2

Representing the Infinite Periodic Fraction 0.1818...

To represent the infinite periodic fraction 0.1818... as an ordinary fraction, we can use the following steps:

1. Let x = 0.181818... 2. Multiply x by 100 to shift the decimal point two places to the right: 100x = 18.181818... 3. Subtract the original equation from the second equation: 100x - x = 18.181818... - 0.181818... 4. Solve for x to find the fraction representation.

Calculation

Let's perform the calculation:

100x - x = 18.181818... - 0.181818... 99x = 18 x = 18 / 99 x = 2 / 11

So, the infinite periodic fraction 0.1818... can be represented as the ordinary fraction 2/11.

This representation shows that the repeating decimal 0.1818... is equivalent to the fraction 2/11.

I hope this helps! If you have any further questions, feel free to ask.