Pre-Algebra Examples

$\frac{\frac{5 x^{2} y z}{3 w^{2}}}{\frac{5 x z}{9 w}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5 x^{2} y z}{3 w^{2}} \cdot \frac{9 w}{5 x z}$

Step 2

Combine.

$\frac{5 x^{2} y z (9 w)}{3 w^{2} (5 x z)}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Cancel the common factor.

$\frac{5 x^{2} y z (9 w)}{3 w^{2} (5 x z)}$

Step 3.2

Rewrite the expression.

$\frac{x^{2} y z (9 w)}{3 w^{2} (x z)}$

$\frac{x^{2} y z (9 w)}{3 w^{2} (x z)}$

Step 4

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

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Step 4.1

Factor $x$ out of $x^{2} y z (9 w)$ .

$\frac{x (x y z (9 w))}{3 w^{2} (x z)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $x$ out of $3 w^{2} (x z)$ .

$\frac{x (x y z (9 w))}{x (3 w^{2} (z))}$

Step 4.2.2

Cancel the common factor.

$\frac{x (x y z (9 w))}{x (3 w^{2} (z))}$

Step 4.2.3

Rewrite the expression.

$\frac{x y z (9 w)}{3 w^{2} (z)}$

$\frac{x y z (9 w)}{3 w^{2} (z)}$

$\frac{x y z (9 w)}{3 w^{2} (z)}$

Step 5

Cancel the common factor of $z$ .

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Step 5.1

Cancel the common factor.

$\frac{x y z (9 w)}{3 w^{2} z}$

Step 5.2

Rewrite the expression.

$\frac{x y (9 w)}{3 w^{2}}$

$\frac{x y (9 w)}{3 w^{2}}$

Step 6

Cancel the common factor of $9$ and $3$ .

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Step 6.1

Factor $3$ out of $x y (9 w)$ .

$\frac{3 (x y (3 w))}{3 w^{2}}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $3$ out of $3 w^{2}$ .

$\frac{3 (x y (3 w))}{3 (w^{2})}$

Step 6.2.2

Cancel the common factor.

$\frac{3 (x y (3 w))}{3 w^{2}}$

Step 6.2.3

Rewrite the expression.

$\frac{x y (3 w)}{w^{2}}$

$\frac{x y (3 w)}{w^{2}}$

$\frac{x y (3 w)}{w^{2}}$

Step 7

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

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Step 7.1

Factor $w$ out of $x y (3 w)$ .

$\frac{w (x y \cdot (3))}{w^{2}}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

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

$\frac{w (x y \cdot (3))}{w \cdot w}$

Step 7.2.2

Cancel the common factor.

$\frac{w (x y \cdot (3))}{w \cdot w}$

Step 7.2.3

Rewrite the expression.

$\frac{x y \cdot (3)}{w}$

$\frac{x y \cdot (3)}{w}$

$\frac{x y \cdot (3)}{w}$

Step 8

Move $3$ to the left of $x y$ .

$\frac{3 x y}{w}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$