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To solve \( 5 \frac{1}{3} \cdot \frac{1}{4} \), we first convert the mixed number \( 5 \frac{1}{3} \) into an improper fraction. This gives us \( \frac{16}{3} \) since \( 5 \times 3 + 1 = 16 \). Now, we multiply: \[ \frac{16}{3} \cdot \frac{1}{4} = \frac{16 \cdot 1}{3 \cdot 4} = \frac{16}{12}. \] This can be simplified to \( \frac{4}{3} \) or \( 1 \frac{1}{3} \). There you have it! Want a quick tip? Always remember to simplify your fractions after multiplication! It makes the final answer cleaner and easier to understand. Common mistakes often include forgetting to convert mixed numbers properly or skipping the simplification step, so double-check your work!
