# Question #65c13

##### 2 Answers

#### Explanation:

Recall (Sum of Geometric Series Formula):

We can view a repeated decimal as the sum of a geometric series.

By applying the formula above with

#### Explanation:

Obtain 2 equations with the same repeating part then subtract them.

#"We can represent the repeated part by " 1.bar34#

#x=1.bar34to(1)larrcolor(red)" multiply by 100"#

#100x=134.bar34to(2)#

#"Subtract " (2)-(1)#

#(100x-x)=(134.bar34-1.bar34)#

#rArr99x=133larrcolor(red)" repeating part eliminated"#

#rArrx=133/99larrcolor(red)"in simplest form"#