We are given the equation $v = \frac{u}{w}$ and we want to solve for $w$ in terms of $u$ and $v$.

AlgebraEquation SolvingVariable IsolationAlgebraic Manipulation
2025/4/4

1. Problem Description

We are given the equation v=uwv = \frac{u}{w} and we want to solve for ww in terms of uu and vv.

2. Solution Steps

We start with the equation v=uwv = \frac{u}{w}.
We want to isolate ww. We can multiply both sides of the equation by ww:
vw=uwwv \cdot w = \frac{u}{w} \cdot w
vw=uvw = u
Now we want to isolate ww, so we divide both sides of the equation by vv:
vwv=uv\frac{vw}{v} = \frac{u}{v}
w=uvw = \frac{u}{v}

3. Final Answer

w=uvw = \frac{u}{v}

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