Simplify (-1/2)/(( square root of 3)/2)

Problem

(−1/2)/√(,3)/2

Solution

1. Identify the expression as a division of two fractions.

2. Apply the rule for dividing fractions by multiplying the numerator by the reciprocal of the denominator.

(−1/2)/√(,3)/2=−1/2⋅2/√(,3)

3. Simplify the expression by canceling the common factor of 2 in the numerator and denominator.

−1/2⋅2/√(,3)=−1/√(,3)

4. Rationalize the denominator by multiplying both the numerator and the denominator by √(,3)

−1/√(,3)⋅√(,3)/√(,3)=−√(,3)/3

Final Answer

(−1/2)/√(,3)/2=−√(,3)/3

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