Answer:
[tex]\frac{5}{33}[/tex]
Step-by-step explanation:
Create 2 equations with the repeating decimal after the decimal point, then subtract them to eliminate the repeating decimal
let x = 0.1515... → (1) ( multiply both sides by 100 )
100x = 15.1515... → (2)
Subtract (1) from (2)
99x = 15 ( eliminating the repeating decimal )
divide both sides by 99
x = [tex]\frac{15}{99}[/tex] = [tex]\frac{5}{33}[/tex]
