Question

Determine a fração geratriz da dízima 7,1234234...

Answer 1

$x = 7.1234234... \\ 10x = 71.234234... \\ 10000x = 71234.234234... \\ \\ 10000x - 10x = 71234.234 - 71.234 \\ 9990x = 71163 \\ x = \frac{71163^{ \div9} }{9990{ \div9} } \\ \\ \boxed{ \boxed{x = \frac{7907}{1110} }}$

Answer 2

10x = 71,234234...- 10000x = 71234,234234...

9990x = 71163

 

x = 71163/9990