Multiplying Mixed Numbers

Students learn to multiply mixed numbers by first rewriting the mixed numbers as improper fractions, then multiplying the improper fractions together, then rewriting the resulting improper fraction as a mixed number, if necessary. For example, to multiply 1 8/15 x 1 1/4, first rewrite the mixed numbers as improper fractions, to get 23/15 x 5/4. Next, cross-cancel the 15 and 5 to 3 and 1, and we have 23/3 x 1/4. Next, multiply across the numerators and denominators to get 23/12. Finally, rewrite 23/12 as the mixed number 1 11/12.

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