Evaluate (-5tw^2)/(-10t^2w)

$\frac{(- 5 t w^{2})}{(- 10 t^{2} w)}$

Step 1

Cancel the common factor of $- 5$ and $- 10$ .

Factor $- 5$ out of $- 5 t w^{2}$ .

$\frac{- 5 (t w^{2})}{- 10 t^{2} w}$

Cancel the common factors.

Factor $- 5$ out of $- 10 t^{2} w$ .

$\frac{- 5 (t w^{2})}{- 5 (2 t^{2} w)}$

Cancel the common factor.

$\frac{- 5 (t w^{2})}{- 5 (2 t^{2} w)}$

Rewrite the expression.

$\frac{t w^{2}}{2 t^{2} w}$

$\frac{t w^{2}}{2 t^{2} w}$

$\frac{t w^{2}}{2 t^{2} w}$

Step 2

Cancel the common factor of $t$ and $t^{2}$ .

Factor $t$ out of $t w^{2}$ .

$\frac{t (w^{2})}{2 t^{2} w}$

Cancel the common factors.

Factor $t$ out of $2 t^{2} w$ .

$\frac{t (w^{2})}{t (2 t w)}$

Cancel the common factor.

$\frac{t w^{2}}{t (2 t w)}$

Rewrite the expression.

$\frac{w^{2}}{2 t w}$

$\frac{w^{2}}{2 t w}$

$\frac{w^{2}}{2 t w}$

Step 3

Cancel the common factor of $w^{2}$ and $w$ .

Factor $w$ out of $w^{2}$ .

$\frac{w \cdot w}{2 t w}$

Cancel the common factors.

Factor $w$ out of $2 t w$ .

$\frac{w \cdot w}{w (2 t)}$

Cancel the common factor.

$\frac{w \cdot w}{w (2 t)}$

Rewrite the expression.

$\frac{w}{2 t}$

$\frac{w}{2 t}$

$\frac{w}{2 t}$

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