# Infinite Series: How to Add Up a Gazillion Fractions

Do you like math? I do! But I don’t usually like SCHOOL math because it’s mostly boring busywork.

Here is one of the problems we did in Math Club recently: Cut up pieces of a cake to add them up, and find out what the total would be if you could keep going forever.

$\frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81} + \frac{1}{243} ... = ?$

(Each piece is 1/3 the size of the piece before it.)

Hey, if a 7-year-old girl can do it, then you can, too!