Question

-\frac{2}{2(1/3)}

Explanation:

Step1: Simplify the denominator

First, calculate the value of the denominator \( 2\times\frac{1}{3} \). According to the multiplication rule of fractions, \( 2\times\frac{1}{3}=\frac{2}{3} \). So the expression becomes \( -\frac{2}{\frac{2}{3}} \).

Step2: Divide by a fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal. So \( -\frac{2}{\frac{2}{3}}=-2\times\frac{3}{2} \).

Step3: Simplify the multiplication

Now, multiply \( -2 \) and \( \frac{3}{2} \). The 2 in the numerator and the 2 in the denominator can be canceled out, leaving \( -3 \).

Answer:

\( -3 \)