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Kim finds a 1-meter tree branch and marks it off in thirds a [#permalink]
24 Jun 2011, 11:22

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Difficulty:

65% (hard)

Question Stats:

47% (02:40) correct
53% (00:26) wrong based on 75 sessions

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.

Attachment:

3rd_5th_fraction.PNG [ 6.92 KiB | Viewed 4495 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... _________________

Can somebody tell me, what is wrong with my understanding? I solved it this way.. http://campl.us/iYfTEVGNqOO

Posted from my mobile device

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 !! _________________

If you don’t make mistakes, you’re not working hard. And Now that’s a Huge mistake.

Re: Kim finds a 1-meter tree branch and marks it off in thirds a [#permalink]
12 May 2013, 10:32

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. _________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi