Find the fractional representation p / qBeen trying to get some sort of solution for this for hours now, with no avail.Find the fractional representation p / q, with p ∈ N and q ∈ N , of the rational number whose decimal representation is: 22.521111...Any help would be greatly appreciated.Thanks

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Find the fractional representation   p      /    qBeen trying to get some sort of solution for this for hours now, with no avail.Find the fractional representation   p      /    q, with   p  ∈      N   and   q  ∈      N  , of the rational number whose decimal representation is:  22.521111...Any help would be greatly appreciated.Thanks

Leland Ochoa · Accepted Answer

The repeating decimal is broken down to:  22.521111...  =  22.52  +  0.001111...  =      2252    100    +      1    900  Can you add up the fractions?

Kapalci · Accepted Answer

let   x  =  22.52111111  ⋯  , then   10  x  =  225.2111111  ⋯ subtracting one from the other gives you   9  x  =  202.69 and  x  =      202.69    9    =      20269    900    .

Find the fractional representation p <mrow class="MJX-TeXAtom-ORD"> / </mrow> q

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