Question

How could you convert the repeating non-terminating decimal to a fraction explain the process and you solve the problem 0.1515

Answer 1

x=0.1515151515
2 places rpeat
multily both sides by 100
100x=15.1515151515
minus x from both sides
100x-x=15.151515151515-0.1515151515
the repeating parts cancel and we get
99x=15
divide both sides by 99
$x=\frac{15}{99}$
$x=\frac{5}{33}$
x=0.151515


so therefor
$0.\overline{15}=\frac{5}{33}$