To evaluate x/y for x = 2/3 and y = 6/7, you need to substitute these values into the expression x/y and simplify the result.
x/y = (2/3) / (6/7)
To simplify the fraction, you can cross multiply the numerator and denominator by 7, which is the denominator of the second fraction:
(2/3) / (6/7) = (2/3) * (7/6) = (27) / (36) = 14/18
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD) which is 2:
14/18 = (14/2) / (18/2) = 7/9
So x/y = 7/9 when x = 2/3 and y = 6/7
It's important to note that the result is a fraction, if you want to express it as decimal you can divide 7 by 9 or use a calculator to get 0.7777 repeating.