Can someone please tell me how to explain to a 3rd grader how to find fractions greater than 3/4??

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- May 2nd 2011, 12:58 PMKimberHelp with fractions
Can someone please tell me how to explain to a 3rd grader how to find fractions greater than 3/4??

- May 2nd 2011, 01:06 PMPlato
- May 2nd 2011, 01:17 PMTheChaz
To add to Plato's reply, we can take $\displaystyle \frac{4}{5}$, which is less than $\displaystyle \frac{5}{6}$, which is less than...

... $\displaystyle \frac{100}{101}$, which is less than... etc.

Any fraction of the form $\displaystyle \frac{n}{n+1}$, where n is a whole number, will get closer and closer to "1.000" as n gets larger.

But you might want to leave that part out of the discussion with the 3rd grader... ;) - May 2nd 2011, 01:55 PMKimber
She really understood it thatnks. For lesser than would it work the same way but substact one?

- May 2nd 2011, 02:01 PMTheChaz
Yes, but you'll run out (at least if you stick to the pattern n/(n +1)) after 1/2. Or maybe 0/1!

What you can do is to increase the denominator (bottom) while leaving the numerator (top) the same.

This would make a bunch of sense to a 3rd grader if you expressed the number of pizza each person got at a party with a fraction...

1/7 means 1 pizza for 7 people.

2/5 means 2 pizzas for 5 people. If we only have 2 pizzas but keep inviting more and more people, we get...

2/20 --> 2 pizzas for 20 people.

2/100 --> 2 pizzas for 100 people...

etc.

Clearly you can tell that each person will only get a bite after increasing the denominator sufficiently! - May 2nd 2011, 02:07 PMKimber
Thats awesome thank you very much she says that makes more sense!!! =^)