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When working with mixed numbers, it is usually easier to convert them to improper fractions, do the operations, and then to convert any resulting improper fraction back to a mixed number:
4/5 × 1 2/3 = 4/5 × (1×3+2)/3
= 4/5 × 5/3
= 20/15
= 4/3
= (1×3+1)/3
= 1⅓
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