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To divide 5 2/7 by 1 1/2, first convert both mixed numbers into improper fractions.
5 2/7 = (7*5 + 2)/7 = 37/7
1 1/2 = (2*1 + 1)/2 = 3/2
Now, divide the two fractions:
(37/7) ÷ (3/2)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(37/7) * (2/3) = (37*2)/(7*3) = 74/21
Therefore, the quotient is 74/21.