Question

Запишіть у вигляді звичайного дробу число 0,3(5) Даю 10 балів!!!!

Answer 1

Пусть х = 0,3555 ..., тогда
10х = 3,555 ...
100х = 35,555 ...
Уравнение: 100х - 10х = 35 - 3
                     90х = 32
                     х = 32/90 = 16/45 (сократили на 2)
Вiдповiдь: 0,3(5) = 16/45.

Answer 2

I can help you with your math question.

To write the number 0,3(5) as a common fraction, you need to use the following formula:

$$\frac{x}{10^n-1}=\frac{a}{10^n-1}+\frac{b}{10^n-1}\times\frac{1}{10^m-1}$$

where $x$ is the number with a repeating decimal, $n$ is the number of digits before the repeating part, $a$ is the non-repeating part, $b$ is the repeating part, and $m$ is the number of digits in the repeating part.

In this case, $x=0,3(5)$, $n=1$, $a=3$, $b=5$, and $m=1$. So, we can plug these values into the formula and simplify:

$$\frac{x}{10^n-1}=\frac{3}{10-1}+\frac{5}{10-1}\times\frac{1}{10-1}$$

$$\frac{x}{9}=\frac{3}{9}+\frac{5}{9}\times\frac{1}{9}$$

$$\frac{x}{9}=\frac{3}{9}+\frac{5}{81}$$

$$\frac{x}{9}=\frac{27}{81}+\frac{5}{81}$$

$$\frac{x}{9}=\frac{32}{81}$$

$$x=\frac{32}{81}\times 9$$

$$x=\frac{32}{9}$$

Therefore, the number 0,3(5) as a common fraction is $\frac{32}{9}$. I hope this helps.Ответь+подробно.+Запишіть+у+вигляді+звичайного+дробу+число+0,3(5)+Даю+10+балів!!!!