Step-by-step explanation:To find how many cakes Carlos has left, we need to subtract the cakes he gave away from the total number of cakes he baked.First, let's convert the mixed numbers to improper fractions: * 12 1/2 = (12 * 2 + 1) / 2 = 25/2 * 5 3/4 = (5 * 4 + 3) / 4 = 23/4Now, subtract the cakes given away from the total: * 25/2 - 23/4 = (50 - 23) / 4 = 27/4Finally, convert the improper fraction back to a mixed number: * 27/4 = 6 3/4So, Carlos has 6 3/4 cakes left to donate.