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Dividing Fractions

Question 1 • Troll - Pre-Algebra - MA3119 A

Which statement is true about the sign of a quotient? Check all that apply.

Answer
A
The quotient of two negative fractions is negative.
B
The quotient of one negative fraction and one positive fraction is negative.
C
The quotient of two positive fractions is negative.
D
The quotient of two positive fractions is positive.
E
The rules for the signs of quotients are the same as the rules for the signs of products.

Explanation

A quotient is negative when the two numbers have opposite signs, and positive when they have the same sign. Therefore, a negative fraction divided by a positive fraction gives a negative quotient, while two positive fractions give a positive quotient. Two negative fractions give a positive quotient, not a negative one; quotient sign rules match product sign rules.

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