What fraction is equivalent to the repeating decimal 0.18
2 answers:
18/99 can be reduced, it becomes 2/11 Therefore the answer is 2/11!! Hope this helps!!! :) P.S. You can check it if you wish by dividing 2 by 11!
Let's begin by setting x equal to our repeating fraction x=0.18181818... The next step is a bit of a 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=18.1818181818...=18+0.18181818... which can be re-written 100x=18+x taking x to the left-hand side we get 99x=18 and finally x=18/99=2/11 Hope this helps!
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