Question

HELP FAST PLEASE!!!

The infinite geometric sum formula can be used to write 0.126126126 ... as a fraction. What is the numerator of this reduced fraction?
7
14
42
126

Answer 1

The answer is "14".

a= 0,126 126 126 126 … 1-1000

1000a = 126,126 126…..

a = 0, 126 126 ……

________________________

1000 a – a = 126, 126 126 ………. - 0, 126 126……

999a = 126

a = 126/999 = 14/111

=14