Algebra Examples

$\frac{\frac{c^{2} y}{2 d^{2}}}{\frac{c^{6}}{5 d}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{c^{2} y}{2 d^{2}} \cdot \frac{5 d}{c^{6}}$

Step 2

Combine.

$\frac{c^{2} y (5 d)}{2 d^{2} c^{6}}$

Step 3

Cancel the common factor of $c^{2}$ and $c^{6}$ .

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Step 3.1

Factor $c^{2}$ out of $c^{2} y (5 d)$ .

$\frac{c^{2} (y (5 d))}{2 d^{2} c^{6}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $c^{2}$ out of $2 d^{2} c^{6}$ .

$\frac{c^{2} (y (5 d))}{c^{2} (2 d^{2} c^{4})}$

Step 3.2.2

Cancel the common factor.

$\frac{c^{2} (y (5 d))}{c^{2} (2 d^{2} c^{4})}$

Step 3.2.3

Rewrite the expression.

$\frac{y (5 d)}{2 d^{2} c^{4}}$

Step 4

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

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Step 4.1

Factor $d$ out of $y (5 d)$ .

$\frac{d (y \cdot (5))}{2 d^{2} c^{4}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $d$ out of $2 d^{2} c^{4}$ .

$\frac{d (y \cdot (5))}{d (2 d c^{4})}$

Step 4.2.2

Cancel the common factor.

$\frac{d (y \cdot (5))}{d (2 d c^{4})}$

Step 4.2.3

Rewrite the expression.

$\frac{y \cdot (5)}{2 d c^{4}}$

Step 5

Move $5$ to the left of $y$ .

$\frac{5 y}{2 d c^{4}}$