5/6+6/7

To add these two fractions, you need to have a common denominator. In this case, the common denominator is 42, which is the least common multiple of 6 and 7.

To convert the first fraction, 5/6, to have a denominator of 42, you multiply both the numerator and denominator by 7. This gives you:

(5/6) * (7/7) = 35/42

To convert the second fraction, 6/7, to have a denominator of 42, you multiply both the numerator and denominator by 6. This gives you:

(6/7) * (6/6) = 36/42

Now that both fractions have a common denominator, you can add them together:

35/42 + 36/42 = (35 + 36)/42 = 71/42

However, this answer can be simplified further. The greatest common divisor (GCD) of 71 and 42 is 1, so we divide both the numerator and denominator by 1 to simplify the fraction:

71/42 = 1 29/42

Therefore, 5/6 + 6/7 = 1 29/42.