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September 14th, 2018, 05:52 AM  #1 
Member Joined: Sep 2018 From: Japan Posts: 35 Thanks: 2  Plot of land
A plot of land is used for planting flowers. 2/3 of the land is used to plant roses. Of the remaining plot of land, 2/5 is used for planting orchids. The rest of the land is used to plant sunflowers. What fraction of the land is used to plant sunflowers? My work: 1  2/3 = 1/3. So I'm guessing 1/3 is the total land left that can plant roses? 1  2/5 = 3/5. I'm guessing what is left when it comes to planting orchids? so, in the book, they did 1/3 * 3/5 = 3/15 = 1/5. I'm not sure why the answer is 1/5? I would expect 2/5. 
September 14th, 2018, 06:24 AM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,879 Thanks: 1503  Quote:
$\displaystyle \frac{3}{5} \cdot \frac{1}{3} = \frac{1}{5}$  
September 14th, 2018, 08:09 AM  #3  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,275 Thanks: 1023  Quote:
[2] 2/3 [3] 2/5 * (1  2/3) [4] [1]  [2]  [3] = 1/5  

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