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Kim finds a 1-meter tree branch and marks it off in thirds a [#permalink]

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24 Jun 2011, 12:22

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Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?

Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?

A) 2/5 B) 7/15 C) 1/2 D) 8/15 E) 3/5 Please explain your answer.

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3rd_5th_fraction.PNG [ 6.92 KiB | Viewed 8808 times ]

Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?

A) 2/5 B) 7/15 C) 1/2 D) 8/15 E) 3/5

Please explain your answer.

Markings are made on 1/5, 2/5, 3/5, 4/5 and 5/5 They are also made on 1/3, 2/3 and 3/3. Its hard to compare these. So let's take their LCM. Markings are made on 3/15, 6/15, 9/15, 12/15 and 15/15 They are also made on 5/15, 10/15 and 15/15.

So markings are on 3/15, 5/15, 6/15, 9/15, 10/15, 12/15 and 15/15.

hey karishma thanks for the reply have u found the distinct sizes by finding out the difference between them?

Yes I have. Difference between 3/15 and 5/15 is 2/15. Between 5/15 and 6/15 is 1/15. Between 6/15 and 9/15 is 3/15. and then they repeat...
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Can somebody tell me, what is wrong with my understanding? I solved it this way.. http://campl.us/iYfTEVGNqOO

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Hi, I have seen this snapshot.....But I advise you to just follow the steps given by Karishma.... above ... once you look at them carefully. I 'm sure you will be able to find your flaw,,,,,,,,,,,,,,,,

Hope ot Helps !!
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Re: Kim finds a 1-meter tree branch and marks it off in thirds a [#permalink]

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12 May 2013, 11:32

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Tip - Since it is a question asking for a fraction.. You can always substitute the length by a more easier number to ease up calculations and draw an easier diagram.
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Re: Kim finds a 1-meter tree branch and marks it off in thirds a
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12 May 2013, 11:32

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