Convert

0.8181818181

to a rational number

7 answers

To convert 0.8181818181 to a rational number, we can represent it as a fraction.

Let x = 0.8181818181

Multiply both sides of the equation by 10000 (10^4) to eliminate the decimal places:

10000x = 8181.818181

Now, subtract the left side of the equation from the right side:

10000x - x = 8181.818181 - 0.8181818181

9999x = 8181

To isolate x, divide both sides of the equation by 9999:

x = 8181/9999

Therefore, the rational form of 0.8181818181 is 8181/9999.
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