2/3 divided by 5/6

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 5/6 is 6/5.

So, 2/3 ÷ 5/6 can be written as:

2/3 x 6/5

Now, multiply the numerators together (2 x 6) and the denominators together (3 x 5):

(2 x 6) / (3 x 5) = 12/15

The fraction 12/15 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

12 ÷ 3 / 15 ÷ 3 = 4/5

Therefore, 2/3 ÷ 5/6 = 4/5.