Question

fração geratriz do numero 34,213131313.....
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Answer 1

$34.2131313...=\\\\\\34.2+0.0131313...=\\\\\\\dfrac{342}{10}+\dfrac{0.131313...}{10}=\\\\\\\dfrac{342}{10}+\dfrac{\frac{13}{99}}{10}=\\\\\\\dfrac{342}{10}+\dfrac{13}{990}=\\\\\\\dfrac{342\cdot99+13}{990}=\\\\\\\dfrac{33858+13}{990}=\\\\\\\boxed{\dfrac{33871}{990}}$