Final answer:
(5 2/4) x (3 1/2) = 19 1/4.
Step-by-step explanation:
To multiply (5 2/4) and (3 1/2), we first convert the mixed numbers to improper fractions.
(5 2/4) = (5 + 2/4)
= (20/4 + 2/4)
= 22/4.
Similarly, (3 1/2) = (3 + 1/2)
= (6/2+1/2)
= 7/2.
Next, we multiply the numerators and denominators separately. (
22/4) x (7/2)
= (22 x 7)/(4 x 2)
= 154/8.
Finally, we simplify the fraction.
154/8
= 19 2/8
= 19 1/4.