We know that 1/13 =0.0769230769230769230769230769230769... When 1/130 is written as a repeating decimal, what is its 130th digit to the right of the decimal point?

Guest May 31, 2021

#1**+2 **

1/13 =0.0769230769230769230769230769230769...

\(1/13 =0.\dot 07692307692\dot3\\ \)

there are 12 repeating digits after the decimal point

130/12= 10 and 10/12

the 10 digit is 9

when you divide this number by 10 the 130th place after the decimal point will be 6

You need to check this.

Melody May 31, 2021

#2**+2 **

1/130 = .0 076923 076923......

there are 6 digits that repeat after the initial 0

130/6 is 21 2/3 so

the 130 th would normally be a '9' ( 2/3 position of the string) but the string is shifted one digit to the right due to the first '0'

so the 130th digit will be '6' __ As Melody found in her answer ........__

ElectricPavlov May 31, 2021