Question

Запишіть у вигляді звичайного дробу 0,1(6).

Answer 1

Ответ:

Смотри фото ниже.

Объяснение:

Answer 2

Converting 0.1(6) to a Simple Fraction

To convert the recurring decimal 0.1(6) to a simple fraction, we can use algebraic manipulation to solve for the fraction.

Let x = 0.1(6) Multiplying both sides by 10 to shift the decimal point: 10x = 1.6(6)

Subtracting the original equation from the multiplied equation: 10x - x = 1.6(6) - 0.1(6) 9x = 1.5 x = 1.5 / 9

Therefore, 0.1(6) as a simple fraction is 1.5/9.