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benchmarking values - fraction

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by manpsingh87 » Fri Apr 15, 2011 2:26 am
vinnaymb wrote:Hi All,

This one stumbled me.

What is 10/22 of 5/18 of 2000?

This is from MGMAT.

how to benchmark the values and how to get the final answer.

Thanks.
hi.. my advice to you is remember fractions till 20..!!!
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by vinnaymb » Fri Apr 15, 2011 2:39 am
well...When a fraction appears to be close to two benchmarks (ie. 5/18 is close to both 1/4 and 1/3), how does one choose...
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by manpsingh87 » Fri Apr 15, 2011 2:54 am
vinnaymb wrote:well...When a fraction appears to be close to two benchmarks (ie. 5/18 is close to both 1/4 and 1/3), how does one choose...
1/4=25%
1/3=33.33%
5/18=27% approx.

so out of 1/4 and 1/3 5/18 is closest to 1/4 so i would pick 1/4..!!!
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by SarahLiz » Fri Apr 15, 2011 5:51 am
Actually, I approached this differently. What I did was set up the equation:

2000*(5/18)*(10/22)

And reduced the fraction to:

500*(5/9)*(10/11)= 25,000/99

Obviously 99 is close to 100 so 25,000/100 = 250
Test date: 5/18/2011
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by Brent@GMATPrepNow » Fri Apr 15, 2011 6:47 am
vinnaymb wrote:Hi All,

This one stumbled me.

What is 10/22 of 5/18 of 2000?

This is from MGMAT.

how to benchmark the values and how to get the final answer.

Thanks.
It would be useful to see the answer choices for this one, since the answer choices will dictate our approach.
If the answer choices are sufficiently spread apart, then we can quickly solve the question by estimating.
For example, Since 10/22 is just a little less than 1/2, we know that (10/22)(2000) will be a little less than 1000 (sure, the real product is about 909, but if the answer choices are sufficiently spread apart, then this level of accuracy will be enough to solve the question)
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by Stuart@KaplanGMAT » Fri Apr 15, 2011 9:46 am
vinnaymb wrote:Hi All,

This one stumbled me.

What is 10/22 of 5/18 of 2000?

This is from MGMAT.

how to benchmark the values and how to get the final answer.

Thanks.
Hi!

First, I wholeheartedly agree with Brent - please provide the answer choices for every question that you post, since many strategic approaches rely on the choices.

Dealing with your specific question, however:
well...When a fraction appears to be close to two benchmarks (ie. 5/18 is close to both 1/4 and 1/3), how does one choose...
Since we're rounding 10/22 UP to 1/2, I'd round 5/18 DOWN to 1/4 - that way we're more likely to be close to the actual value of the expression.

To Sarah's point - great decision! The later you leave estimating, the more accurate your estimate will be. Since we see that, in this problem, some of the numerators have factors in common with some of the denominators, it's definitely worth doing some simplification before estimating.
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by vinnaymb » Fri Apr 15, 2011 10:05 am
Picked it up from MGMAT they have not given any choice answers for this question.
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