Question

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

Answer 1

Answer:

the answer is 11

Step-by-step explanation:

i did the edg quiz and got a hundred

Answer 2

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

$0.272727...=\frac{3}{x}$                 ..... (1)

Multiply both sides by 100.

$0.272727...\times 100=\frac{3}{x}\times 100$

$27.272727=\frac{300}{x}$            .... (2)

Subtract equation (1) from equation (2),

$27.272727-0.272727...=\frac{300}{x}-\frac{3}{x}$

$27=\frac{300-3}{x}$

Multiply both sides by x.

$27x=297$

Divide both sides by 27.

$x=\frac{297}{27}$

$x=11$

Therefore the value of x is 11.