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In the video tutorial, Mr. J teaches how to add mixed numbers with different denominators. He demonstrates the process by setting up the problem vertically and aligning the fractions and whole numbers. To add mixed numbers with different denominators, a common denominator is required. In the example of adding three and two-fifths plus two and one-half, the common denominator for five and two is found by renaming each fraction. The step-by-step approach helps in simplifying complex addition problems involving mixed numbers.
