solve for variable in fraction

Check the final answer first, then review the worked steps.

Problem

solve for variable in fraction

Answer

\(W = 5g\)

Step-by-step solution

  1. Identify the goal: The objective is to isolate the variable $W$ in the given equation $\frac{W}{5} = g$.

2. Isolate the variable: Since $W$ is being divided by $5$, we need to perform the inverse operation, which is multiplication. Multiply both sides of the equation by $5$ to solve for $W$:
$$\frac{W}{5} \cdot 5 = g \cdot 5$$

3. Simplify: The $5$ in the numerator and the $5$ in the denominator on the left side cancel each other out, leaving $W$ by itself:
$$W = 5g$$