Final answer:
Convert mixed numbers 5 3/4 and 1 3/4 to improper fractions, multiply them, and simplify the result to get the mixed number 10 1/16.
Step-by-step explanation:
When multiplying mixed numbers such as 5 3/4 and 1 3/4, the first step is to convert each mixed number into an improper fraction. For 5 3/4, multiply 5 (the whole number) by 4 (the denominator) and add 3 (the numerator) to get 23/4. For 1 3/4, multiply 1 (the whole number) by 4 (the denominator) and add 3 (the numerator) to get 7/4. Next, multiply the numerators and the denominators of the improper fractions: (23/4) * (7/4) = 161/16. Simplify this fraction by dividing both the numerator and the denominator by the greatest common divisor, which in this case is 16, to convert it back to a mixed number. The result is 10 1/16.