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

Problem

1/2/(−√(,3)/2)

Solution

1. Identify the operation as the division of two fractions.

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

1/2⋅(−2/√(,3))

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

−1/√(,3)

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

−(1⋅√(,3))/(√(,3)⋅√(,3))

5. Calculate the final simplified value.

−√(,3)/3

Final Answer

1/2/(−√(,3)/2)=−√(,3)/3

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