Show that 0.81 reocurring = 9/11

Let x = 0.8181818181...
100x = 81.81818181...100x - x = 81.81818181... - 0.8181818181(100 - 1)x = 8199x = 81x = 81/99x = 9/11

Answered by Emily D. Maths tutor

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