What number is between #2/3# and #6/7#?

1 Answer
Jan 16, 2018

There are infinitely many, but two more obvious choices might be:

#16/21" "# or #" "4/5#

Explanation:

There are infinitely many numbers between #2/3# and #6/7#

The midpoint is:

#1/2(2/3+6/7) = 1/2(14/21+18/21) = 1/2(32/21) = 16/21#

Another, somewhat simpler fraction that lies between them is:

#(2+6)/(3+7) = 8/10 = 4/5#