contestada

The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x

what is the value for x in the fraction

Respuesta :

Answer:

The value of x is 11.

Step-by-step explanation:

The given number is 0.27272727..., and it is converted to the fraction as

[tex]0.272727...=\frac{3}{x}[/tex]                 ..... (1)

Multiply both sides by 100.

[tex]0.272727...\times 100=\frac{3}{x}\times 100[/tex]

[tex]27.272727=\frac{300}{x}[/tex]            .... (2)

Subtract equation (1) from equation (2),

[tex]27.272727-0.272727...=\frac{300}{x}-\frac{3}{x}[/tex]

[tex]27=\frac{300-3}{x}[/tex]

Multiply both sides by x.

[tex]27x=297[/tex]

Divide both sides by 27.

[tex]x=\frac{297}{27}[/tex]

[tex]x=11[/tex]

Therefore the value of x is 11.

Answer:

the answer is 11

Step-by-step explanation:

i did the edg quiz and got a hundred