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arrange the following 1/4 2/3 7/12 5/6 4/9

 Jun 9, 2015

Best Answer 

 #2
avatar+26367 
+10

arrange the following 1/4 2/3 7/12 5/6 4/9

$$\\ \frac14 \cdot \frac99 = \frac9{36}\\\\
\frac23 \cdot \frac{12}{12} = \frac{24}{36}\\\\
\frac7{12} \cdot \frac33 = \frac{21}{36}\\\\
\frac56 \cdot \frac66 = \frac{30}{36}\\\\
\frac49 \cdot \frac44 = \frac{16}{36}\\\\
\rm{~~so~we~have~~}
\frac14 ~~
\frac49 ~~
\frac7{12} ~~
\frac23 ~~
\frac56$$

 Jun 9, 2015
 #1
avatar+118608 
+5

First you could split them into 2 groups 

Less than a half   AND   bigger than a half

Just say the fraction was $$\frac{6}{11}$$     what is half of 11?   it is $$5\frac{1}{2}$$      6 is bigger than  $$5\frac{1}{2}$$    SO    $$\frac{6}{11}$$ is MORE than a half.

 

Your turn, you split you 5 fractions into the 2 piles and then we can look at what to do next :)

 Jun 9, 2015
 #2
avatar+26367 
+10
Best Answer

arrange the following 1/4 2/3 7/12 5/6 4/9

$$\\ \frac14 \cdot \frac99 = \frac9{36}\\\\
\frac23 \cdot \frac{12}{12} = \frac{24}{36}\\\\
\frac7{12} \cdot \frac33 = \frac{21}{36}\\\\
\frac56 \cdot \frac66 = \frac{30}{36}\\\\
\frac49 \cdot \frac44 = \frac{16}{36}\\\\
\rm{~~so~we~have~~}
\frac14 ~~
\frac49 ~~
\frac7{12} ~~
\frac23 ~~
\frac56$$

heureka Jun 9, 2015

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