Algebra Examples

$\frac{2 y + 8}{16 + 4 y}$

Step 1

Cancel the common factor of $2 y + 8$ and $16 + 4 y$ .

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Step 1.1

Factor $2$ out of $2 y$ .

$\frac{2 (y) + 8}{16 + 4 y}$

Step 1.2

Factor $2$ out of $8$ .

$\frac{2 y + 2 \cdot 4}{16 + 4 y}$

Step 1.3

Factor $2$ out of $2 y + 2 \cdot 4$ .

$\frac{2 (y + 4)}{16 + 4 y}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $16$ .

$\frac{2 (y + 4)}{2 (8) + 4 y}$

Step 1.4.2

Factor $2$ out of $4 y$ .

$\frac{2 (y + 4)}{2 (8) + 2 (2 y)}$

Step 1.4.3

Factor $2$ out of $2 (8) + 2 (2 y)$ .

$\frac{2 (y + 4)}{2 (8 + 2 y)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 (y + 4)}{2 (8 + 2 y)}$

Step 1.4.5

Rewrite the expression.

$\frac{y + 4}{8 + 2 y}$

$\frac{y + 4}{8 + 2 y}$

$\frac{y + 4}{8 + 2 y}$

Step 2

Factor $2$ out of $8 + 2 y$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{y + 4}{2 \cdot 4 + 2 y}$

Step 2.2

Factor $2$ out of $2 \cdot 4 + 2 y$ .

$\frac{y + 4}{2 (4 + y)}$

$\frac{y + 4}{2 (4 + y)}$

Step 3

Cancel the common factor of $y + 4$ and $4 + y$ .

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Step 3.1

Reorder terms.

$\frac{y + 4}{2 (y + 4)}$

Step 3.2

Cancel the common factor.

$\frac{y + 4}{2 (y + 4)}$

Step 3.3

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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