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To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1 1/2 is 2/3 (flipping the fraction and changing the sign from addition to division).
So, 5/6 ÷ 1 1/2 is the same as 5/6 * 2/3.
Multiplying the numerators (5 * 2) and denominators (6 * 3) we get:
(5/6) * (2/3) = 10/18.
To simplify the answer, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
10/18 simplifies to 5/9.
Therefore, the quotient of 5/6 ÷ 1 1/2 is 5/9.