Algebra Examples

$\frac{3 (y + 8)}{9 y + 72}$

Step 1

Cancel the common factors.

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Step 1.1

Factor $3$ out of $9 y$ .

$\frac{3 (y + 8)}{3 (3 y) + 72}$

Step 1.2

Factor $3$ out of $72$ .

$\frac{3 (y + 8)}{3 (3 y) + 3 \cdot 24}$

Step 1.3

Factor $3$ out of $3 (3 y) + 3 (24)$ .

$\frac{3 (y + 8)}{3 (3 y + 24)}$

Step 1.4

Cancel the common factor.

$\frac{3 (y + 8)}{3 (3 y + 24)}$

Step 1.5

Rewrite the expression.

$\frac{y + 8}{3 y + 24}$

$\frac{y + 8}{3 y + 24}$

Step 2

Factor $3$ out of $3 y + 24$ .

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Step 2.1

Factor $3$ out of $3 y$ .

$\frac{y + 8}{3 (y) + 24}$

Step 2.2

Factor $3$ out of $24$ .

$\frac{y + 8}{3 y + 3 \cdot 8}$

Step 2.3

Factor $3$ out of $3 y + 3 \cdot 8$ .

$\frac{y + 8}{3 (y + 8)}$

$\frac{y + 8}{3 (y + 8)}$

Step 3

Cancel the common factor of $y + 8$ .

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Step 3.1

Cancel the common factor.

$\frac{y + 8}{3 (y + 8)}$

Step 3.2

Rewrite the expression.

$\frac{1}{3}$

$\frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$

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