fractions

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g-manatl: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Sat Aug 15, 2009 7:34 am

by g-manatl » Sat Aug 15, 2009 2:57 pm

Hello Everyone,

What is the most efficient way of solving this problem.

Thanks in advance.

1/40 + 1/41+ 1/42 + 1/43 + 1/44 + 1/45

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Source: Beat The GMAT — Problem Solving | Sat Aug 15, 2009 2:57 pm

dtweah: Master | Next Rank: 500 Posts; Posts: 487; Joined: Fri Mar 27, 2009 5:49 am; Thanked: 36 times

Re: fractions

by dtweah » Sat Aug 15, 2009 7:03 pm

g-manatl wrote:Hello Everyone,

What is the most efficient way of solving this problem.

Thanks in advance.

1/40 + 1/41+ 1/42 + 1/43 + 1/44 + 1/45

Depending on the answer choices there are different tricks around it.

The above sum is less than 1/8

B/c 1/40 + 1/40 + 1/40 +1/40 +1/40 +1/40 = 1/8

So among answer choices I will eliminate all choices greater than 1/8

You definitely NEVER want to do the usual LCM thing on such a question.

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