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To find the quotient of 5 2/7 ÷ 1 1/2, we need to first convert both mixed numbers into improper fractions.
5 2/7 can be written as (5 * 7 + 2)/7 = 37/7
1 1/2 can be written as (1 * 2 + 1)/2 = 3/2
Now we can divide 37/7 by 3/2:
(37/7) ÷ (3/2) = (37/7) * (2/3)
= (37 * 2) / (7 * 3)
= 74/21
Therefore, the quotient is 74/21.