Question

encontre a fração geratriz da dízima 0, 727272...

Answer 1

$\large\boxed{\begin{array}{l}\sf x=0,727272\dotsc\cdot100\\\sf 100x=72,727272\dotsc\\\sf 100x=72+0,727272\dotsc\\\sf 100x=72+x\\\sf 100x-x=72\\\sf 99x= 72\\\sf x=\dfrac{72\div9}{99\div9}\\\\\sf x=\dfrac{8}{11}\end{array}}$