Question

qual e a fração geratriz de a) 1,8333... b) 0,272727...

Answer 1

$A)\\ x=1,8\overline{3}\\ 10x=18,\overline{3}\\ 100x=183,\overline{3}\\\\ 100x-10x=183,3-18,3\\ 90x=165\\x= \frac{165^{\div3}}{90^{\div3}}\\\\\boxed{\boxed{x= \frac{55}{30} }}\\\\\\ B)\\ x=0,\overline{27}\\ 100x=27,\overline{27}\\\\ 100x-x=27,27-0,27\\ 99x=27\\ x=\frac{27^{\div9}}{99^{\div9}} \\\\ \boxed{\boxed{x=\frac{3}{11}}}$