What number is midway between 2/3 and 1

[ (2 / 3) + 1 ] / 2 = (2 / 3 + 3 / 3) * (1 / 2) = (5 / 3) * (1 / 2) = 5 / 6;

The number between would be the average

the average is found by adding the numbers then dividing by how many numbers there were (in this case 2, 2/3 and 1)

so 2/3+1=1 and 2/3

divide by 2

(1 and 2/3) / 2

1=3/3

1 and 2/3=3/3+2/3=5/3

then divide by 2

(5/3) / 2=5/3 times 1/2=5/6

the number is 5/6