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How do I find a rational number halfway between 1/2 and 2/3?

2006-09-27 18:43:01 · 7 answers · asked by AZmomm43 4 in Education & Reference Homework Help

7 answers

6 is the least common factor ( 2 and 3 go into it evenly) .
1/2 is equal to 3/6 and 2/3 is equal to 4/6. I see your problem...

If we try 12
1/2 is equal to 6/12 and 2/3 is equal to 8/12. And the number inbetween is 7/12!

2006-09-27 18:47:55 · answer #1 · answered by Kimmie 3 · 0 0

The word rational in this context is related to the word ratio. A rational number can be expressed as some fraction, even if it's 1/1. An irrational number is something like pi, that can't be expressed as an exact fraction. It just goes on for ever.

1/2 = 6/12 and 2/3 = 8/12 so 7/12 would be a rational number in between 1/2 and 2/3. The actual number of possible correct answers to your question is infinite.

2006-09-28 01:53:55 · answer #2 · answered by Anonymous · 0 0

Legion suggests one way:
(1/2 + 2/3) / 2 = (6/12 + 8/12) /2 = (14/12) /2 = 7/12

Alternatively, you can use the pictorial way, draw a square with a unit-length strip across the top divided in the rows below into fractions e.g. two halves, three thirds, four quarters etc. so you can visually pic off a fraction that is > 1/2 and < 2/3.
For example: 4/7 , 5/8 or 5/9 are all good...

2006-09-28 01:51:43 · answer #3 · answered by smci 7 · 0 0

A rational number is just a fraction. Add them both then divide by 2.

2006-09-28 01:45:38 · answer #4 · answered by legionmk59 1 · 0 0

any number that can be expressed as a fraction, where:

1/2 < x < 2/3

would qualify...

2006-09-28 03:14:38 · answer #5 · answered by Anonymous · 0 0

add these two numbers and divide by 2.

2006-09-28 03:05:46 · answer #6 · answered by flori 4 · 0 0

no clue

2006-09-28 01:44:11 · answer #7 · answered by Anonymous · 0 0

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