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    Can someone help me with this question, please?
    “Hence, or otherwise, write the recurring decimal 0.481818181… as a fraction.”
    The first part of the question was to prove that the recurring decimal 0.818181.. can be written as 9/11.
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    multiply it by 10 to get 4.818181. since they give you 9/11, you know that 4.818181 is 53/11 (cause its 4 and 9/11 turned into an improper fraction) then you just multiply the denominator by 10 so 0.48181 is 53/110. hope that made sense!!
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    (Original post by yourlocalflop)
    multiply it by 10 to get 4.818181. since they give you 9/11, you know that 4.818181 is 53/11 (cause its 4 and 9/11 turned into an improper fraction) then you just multiply the denominator by 10 so 0.48181 is 53/110. hope that made sense!!
    Thank you very much, glad for someone to have at least solved it for me!
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    Simple explanation:

    x = 0.48181
    10x = 4.8181
    100x= 48.1818
    1000x = 481.8181

    Both 10x and 1000x have the same recurring numbers after the decimal point so,
    1000x 481.8181
    -10x 4.8181
    = 477
    = 990x
    so... the fraction is 477/990 which can be simplified to 53/110
    the answer is 53/110


    EDIT: Saw someone else already answered this so nvm
 
 
 
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