Let
\(x=72.111...\)
Multiply x by a power of \(10\), one that keeps the decimal part of the number the same:
\(10x=721.111..\)
Subtract \(x\) from \(\\10x\)
\(10x-x=721.111-72.111=649\)
The repeating decimals should cancel out
\(\\9x=649\)
solve for x
Divide by \(9\) both sides
\(9x/9=649/9\)
\(x=649/9\)
therefore
the answer is
The fraction is \(\frac{649}{9}\)
