Write the ratio in simplest form

The ratio of 3 5/9 to 8 3/7

3 5/9 = (27/9) + (5/9) = 32/9
8 3/7 = (56/7) + (3/7) = 59/7

(3 5/9) / (8 3/7) = (32/9) / (59/7) = (32/9)(7/59) = (32*7) / (9*59) = 224/531

32 = 2^5, 9 = 3^2, 7 and 59 are prime, so this fraction is in lowest terms.