1.0242424.... = 1.0 ( 24 ) → 1 990 24
1 + 4/165 ;
To convert the repeating decimal 1.024242424... into a fraction, set x = 1.024242424... and manipulate it to find that x = 165 169 or 1 165 4 . This process involves multiplying by 100, subtracting, and simplifying. The answer gives the fractional representation of the repeating decimal.
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