Question

convert the following repeating decimal to a fraction 181818....​

Answer 1

Step-by-step explanation:

0000. So,

0.1818181 = (0.181818 × 1000000)(1 × 1000000) = 1818181000000.

Answer 2

Answer:

Let's begin by setting x equal to our repeating decimal fraction

x = 0.181818....

The next step is a bit of trick where we multiply by a power of 10 such that what remains to the right of the decimal is the repeating fraction itself, i.e.

100x = 18.18181818... = 18 + 0.18181818...

which can be written

100x = 18 + x

subtracting x from both sides we get

99x = 18

and finally

x = 18/99

x = 2/11

answer is 2 by 11