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I have gone over this several times, even using the problems with provided answers to figure out where I am going wrong. I am being asked to estimate a product or quotient using mixed fractions. Here is my problem at hand:
17 11/12 divided by 6 1/10
I am not looking for a quick answer, just a hint on how to "estimate" this equation without actually solving the problem (I can go through the steps and actually solve the equation, rather than taking a guesstimate; however, the book calls for an estimation). Any help or advice would be greatly appeciated!!!
V/R
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Well, 17 11/12 is *just below* 18, and 6 1/10 is *just above* 6
And we know that 18/6 = 3, so the answer will be close to 3.
Now the 18 is too high, so we should expect a little bit lower than 3 as then answer
And 6 is too low (should be 6 1/10), but since we are dividing by it, that will also mean our answer should be a bit lower.
So, perhaps 2.9 would be a good guess.
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
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Nevermind, I am not sure where my mind was... I figured it out.
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Well, 17 11/12 is *just below* 18, and 6 1/10 is *just above* 6
And we know that 18/6 = 3, so the answer will be close to 3.
Now the 18 is too high, so we should expect a little bit lower than 3 as then answer
And 6 is too low (should be 6 1/10), but since we are dividing by it, that will also mean our answer should be a bit lower.
So, perhaps 2.9 would be a good guess.
Thank you, for the advice. I believe that I was over-thinking the problem!!!
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