Answer:
[tex]\frac{131}{99}[/tex]
Step-by-step explanation:
Let
[tex]x=1.323232...[/tex]
Multiply x by a power of [tex]10[/tex], one that keeps the decimal part of the number the same:
[tex]100x=132.3232..[/tex]
Subtract [tex]x[/tex] from [tex]\\100x[/tex]
[tex]100x-x=132.3232...-1.3232...=131[/tex]
The repeating decimals should cancel out
[tex]\\99x=131[/tex]
solve for x
Divide by [tex]99[/tex] both sides
[tex]x=\frac{131}{99}[/tex]
