Answer:
[tex]\frac{13}{99}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating numbers after the decimal point.
let x = 0.1313.... → (1) ( multiply both sides by 100 )
100x = 13.1313.... → (2)
Subtract (1) from (2) thus eliminating the repeating numbers
99x = 13 ( divide both sides by 99 )
x = [tex]\frac{13}{99}[/tex]
That is 0.1313.... = [tex]\frac{13}{99}[/tex]
