Final answer:
To multiply mixed numbers, convert them to improper fractions, multiply the numerators and denominators, simplify the fraction, and write as a mixed number.
Step-by-step explanation:
To multiply the mixed numbers, first convert them to improper fractions. 5 3/4 can be written as (4*5+3)/4 = 23/4 1 3/4 can be written as (4*1+3)/4 = 7/4 Multiply the numerators and multiply the denominators to get the product. 23/4 * 7/4 = (23*7)/(4*4) = 161/16
To simplify the fraction, divide the numerator and denominator by their greatest common divisor. The GCD of 161 and 16 is 1, so the simplified fraction is 161/16.
To write the answer as a mixed number, divide the numerator (161) by the denominator (16). The quotient is 10 and the remainder is 1, so the mixed number is 10 1/16.
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