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To multiply the fractions 1 2/3 by 6 1/2, we need to convert the mixed numbers into improper fractions.
1 2/3 = (3*1 + 2)/3 = 5/3
6 1/2 = (2*6 + 1)/2 = 13/2
Now, we can multiply the fractions:
(5/3)*(13/2) = (5*13)/(3*2) = 65/6
So, 1 2/3 multiplied by 6 1/2 is equal to 65/6.