Answer:
(b) 95/252
Explanation:
You want the quotient of (-3 1/6) and (-8 2/5).
Sign
Here, the dividend and divisor have the same sign, so the quotient will be positive.
Quotient
It is convenient to perform multiplication or division of mixed numbers by first converting them to improper fractions.
3 1/6 = 19/6
8 2/5 = 42/5
When dividing by a fraction it usually works well to multiply by its inverse:
(3 1/6) ÷ (8 2/5) = (19/6) ÷ (42/5) = (19/6) × (5/42
= (19·5)/(6·42) = 95/252 . . . . matches choice B
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