Question

solve for w.
3w = -\frac{6}{5}
simplify your answer as much as possible.
w =

Explanation:

Step1: Divide both sides by 3

To solve for \( w \) in the equation \( 3w = -\frac{6}{5} \), we divide both sides of the equation by 3. This gives us \( w = \frac{-\frac{6}{5}}{3} \).

Step2: Simplify the division

Dividing a fraction by a number is the same as multiplying the fraction by the reciprocal of that number. So, \( \frac{-\frac{6}{5}}{3} = -\frac{6}{5} \times \frac{1}{3} \). Multiplying the numerators and denominators, we get \( -\frac{6 \times 1}{5 \times 3} = -\frac{6}{15} \). Then, simplifying the fraction \( -\frac{6}{15} \) by dividing both the numerator and denominator by their greatest common divisor, which is 3, we get \( -\frac{2}{5} \).

Answer:

\( w = -\frac{2}{5} \)