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Multiply. ​ 3 2/3 x 3/4 ​ Express your answer in simplest form

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Final answer:

To multiply mixed numbers, first convert them to improper fractions. Then multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Finally, simplify the fraction to express the answer in simplest form.

Step-by-step explanation:

To multiply mixed numbers, first convert the mixed numbers to improper fractions. 3 2/3 can be written as 11/3 and 3/4 remains the same. Next, multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. So, 11/3 x 3/4 becomes (11 x 3) / (3 x 4) which simplifies to 33/12. To express the answer in simplest form, you can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 3 in this case. So, 33/12 simplifies to 11/4.

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