1. **State the problem:** James has 60 pieces of fruit. \n\n1/12 of the fruit are mangos, and the rest are avocados. Mangos weigh 130g each, and avocados weigh 200g each. We need to find the total weight of all the fruit.\n\n2. **Find the number of mangos:**\n\nNumber of mangos = $\frac{1}{12} \times 60 = 5$ mangos.\n\n3. **Find the number of avocados:**\n\nNumber of avocados = Total fruit - Mangos = $60 - 5 = 55$ avocados.\n\n4. **Calculate the total weight of mangos:**\n\nTotal weight mangos = Number of mangos $\times$ weight per mango = $5 \times 130 = 650$ g.\n\n5. **Calculate the total weight of avocados:**\n\nTotal weight avocados = Number of avocados $\times$ weight per avocado = $55 \times 200 = 11000$ g.\n\n6. **Calculate the total weight of all fruit:**\n\nTotal weight = Weight of mangos + Weight of avocados = $650 + 11000 = 11650$ g.\n\n**Final answer:** The total weight of all the fruit is $11650$ grams.