To add the fractions 3/8 + 2/7, we first need to find a common denominator. The least common multiple of 8 and 7 is 56.

So, we rewrite the fractions with a common denominator of 56:

(3/8) (7/7) = 21/56
(2/7) (8/8) = 16/56

Now, we can add the fractions:

21/56 + 16/56 = 37/56

Therefore, 3/8 + 2/7 = 37/56

To add the fractions 59/60 + 39/40, we first need to find a common denominator. The least common multiple of 60 and 40 is 120.

So, we rewrite the fractions with a common denominator of 120:

(59/60) (2/2) = 118/120
(39/40) (3/3) = 117/120

Now, we can add the fractions:

118/120 + 117/120 = 235/120

Since 235/120 can be simplified by dividing both the numerator and denominator by 5:

235 ÷ 5 = 47
120 ÷ 5 = 24

So, the final answer is 47/24

Therefore, 59/60 + 39/40 = 47/24.