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30/180? is the answer I got from multiplying 1/2 *2/3*3/4*4/5*5/6 Im not understanding the answers im being given to choose from because none of them seem correct

 Nov 21, 2018
 #1
avatar+1253 
-1

Let's look at it a better way.

\(\frac{1}{2}*\frac{2}{3}*\frac{3}{4}*\frac{4}{5}*\frac{5}{6}\).

Can we cancel anything out? Yes, we can! In fact, we can cross out 2, 3, 4, and 5!

Now it's just a simple \(\frac{1}{6}\)!

 

Alternatively, you can mutliply the tops and bottoms and get \(\frac{120}{720}\) which equals \(\frac{1}{6}\).

 

You are very welcome!

:P

 Nov 21, 2018
 #2
avatar+127 
+1

Well, you need to learn how to cross cancel

go to this site https://www.mathbootcamps.com/multiplying-fractions-cross-cancelling/

now that you know, piece of pi

1/2 * 2/3 * 3/4 * 4/5 * 5/6 you cross cancel and get 1/6

 

guess what? 30/180 simplifies to 1/6

 Nov 21, 2018

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