Final answer:
To multiply mixed numbers, convert them to improper fractions, multiply the fractions, and simplify the answer. The result can be written as a mixed number.
Step-by-step explanation:
To multiply 7 2/3 and 2 3/5, we can first convert the mixed numbers to improper fractions. 7 2/3 can be written as 23/3 and 2 3/5 can be written as 13/5. Next, we multiply the numerators and multiply the denominators to get the product. So, 23/3 multiplied by 13/5 is equal to (23 * 13) / (3 * 5).
Simplifying, we get (299) / (15). To write this as a mixed number, we divide the numerator by the denominator and write the remainder as a fraction. Here, 299 divided by 15 is equal to 19 with a remainder of 14. Therefore, the answer is 19 14/15.
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