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

Problem

(−√(,3)/2)/1/2

Solution

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

2. Apply the rule for dividing fractions, which is to multiply the numerator by the reciprocal of the denominator.

3. Set up the multiplication:

(−√(,3))/2⋅2/1

4. Cancel the common factor of 2 from the numerator and the denominator.

(−√(,3)⋅2)/(2⋅1)

5. Simplify the resulting expression.

−√(,3)

Final Answer

(−√(,3)/2)/1/2=−√(,3)

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