Question 1139669: find 6 rational number between -3/11 and 8/11
what do i do when there's a minus on the numerator
Found 2 solutions by Edwin McCravy, MathLover1:
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website! A rational number is a positive or negative FraCtional number, or a whole
number because because you can always make a whole number into a fraction by
putting it over 1.
Since both given fractions have 11 in the denominator, think of all the
numerators between the numerator of the first, -3, and the numerator of the
second, which is 8.
The integers between -3 and 8 are these:
-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
so use them as numerators and give each one a denominator of 11:
-3/11, -2/11, -1/11, 0/11, 1/11, 2/11, 3/11, 4/11, 5/11, 6/11, 7/11, 8/11
Only one of those reduces. 0/11 is just 0
So pick any 6 of those fractions between the first one and the last one.
Edwin
Answer by MathLover1(20849)  (Show Source):
You can put this solution on YOUR website! find  rational number between  and 
Well, the mediant helps us again. If we add up the numerators and denominators of two fractions and treat those sums as the new numerator and denominator, the result is guaranteed to be between the two fractions (equal only if the two initial fractions were equal).
So, boom,  is guaranteed to be between them.
 ,  ,
Let's do it again!
,  , , ,
,  , , , ...simplify second term
,  , ,,
And let's get two more:
,  ,, ,, ,
,  ,, ,, ,
And let's get one more:
, , ,, ,,,
, , ,, ,,,
check:
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