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

Problem

(−1/2)/(−√(,3)/2)

Solution

1. Identify the signs of the numerator and the denominator. Since both the numerator and the denominator are negative, the result will be positive.

(−1/2)/(−√(,3)/2)=1/2/√(,3)/2

2. Apply the rule for dividing fractions, which is to multiply 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. Evaluate the multiplication to reach the final simplified form.

√(,3)/3

Final Answer

(−1/2)/(−√(,3)/2)=√(,3)/3

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