Question

solve for g: \\( -12g = \frac{1}{3} \\) write your answer as a fraction. \\( g = \underline{\quad\quad} \\)

Explanation:

Step1: Identify the equation

We have the equation \(-12g = \frac{1}{3}\).

Step2: Solve for \(g\)

To isolate \(g\), we divide both sides of the equation by \(-12\). This is equivalent to multiplying both sides by \(-\frac{1}{12}\). So, \(g=\frac{1}{3}\times(-\frac{1}{12})\).

Step3: Multiply the fractions

When multiplying fractions, we multiply the numerators together and the denominators together. So, \(g = \frac{1\times(-1)}{3\times12}=-\frac{1}{36}\).

Answer:

\(-\frac{1}{36}\)