Solve for p 8/9p=12/18

$\frac{8}{9} p = \frac{12}{18}$

Step 1

Multiply both sides of the equation by $\frac{9}{8}$ .

$\frac{9}{8} (\frac{8}{9} p) = \frac{9}{8} \cdot \frac{12}{18}$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{9}{8} (\frac{8}{9} p)$ .

Combine $\frac{8}{9}$ and $p$ .

$\frac{9}{8} \cdot \frac{8 p}{9} = \frac{9}{8} \cdot \frac{12}{18}$

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9}{8} \cdot \frac{8 p}{9} = \frac{9}{8} \cdot \frac{12}{18}$

Rewrite the expression.

$\frac{1}{8} (8 p) = \frac{9}{8} \cdot \frac{12}{18}$

Cancel the common factor of $8$ .

Factor $8$ out of $8 p$ .

$\frac{1}{8} (8 (p)) = \frac{9}{8} \cdot \frac{12}{18}$

Cancel the common factor.

$\frac{1}{8} (8 p) = \frac{9}{8} \cdot \frac{12}{18}$

Rewrite the expression.

$p = \frac{9}{8} \cdot \frac{12}{18}$

Simplify the right side.

Simplify $\frac{9}{8} \cdot \frac{12}{18}$ .

Cancel the common factor of $9$ .

Factor $9$ out of $18$ .

$p = \frac{9}{8} \cdot \frac{12}{9 (2)}$

Cancel the common factor.

$p = \frac{9}{8} \cdot \frac{12}{9 \cdot 2}$

Rewrite the expression.

$p = \frac{1}{8} \cdot \frac{12}{2}$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$p = \frac{1}{4 (2)} \cdot \frac{12}{2}$

Factor $4$ out of $12$ .

$p = \frac{1}{4 \cdot 2} \cdot \frac{4 \cdot 3}{2}$

Cancel the common factor.

$p = \frac{1}{4 \cdot 2} \cdot \frac{4 \cdot 3}{2}$

Rewrite the expression.

$p = \frac{1}{2} \cdot \frac{3}{2}$

Multiply $\frac{1}{2}$ by $\frac{3}{2}$ .

$p = \frac{3}{2 \cdot 2}$

Multiply $2$ by $2$ .

$p = \frac{3}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$p = \frac{3}{4}$

Decimal Form:

$p = 0.75$

Solve for p 8/9p=12/18

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