Solve for d 16/6=(3d)/9

$\frac{16}{6} = \frac{3 d}{9}$

Rewrite the equation as $\frac{3 d}{9} = \frac{16}{6}$ .

$\frac{3 d}{9} = \frac{16}{6}$

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

Factor $3$ out of $3 d$ .

$\frac{3 (d)}{9} = \frac{16}{6}$

Cancel the common factors.

Factor $3$ out of $9$ .

$\frac{3 d}{3 \cdot 3} = \frac{16}{6}$

Cancel the common factor.

$\frac{3 d}{3 \cdot 3} = \frac{16}{6}$

Rewrite the expression.

$\frac{d}{3} = \frac{16}{6}$

$\frac{d}{3} = \frac{16}{6}$

$\frac{d}{3} = \frac{16}{6}$

Multiply both sides by $3$ .

$\frac{d}{3} \cdot 3 = \frac{16}{6} \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{d}{3} \cdot 3 = \frac{16}{6} \cdot 3$

Rewrite the expression.

$d = \frac{16}{6} \cdot 3$

$d = \frac{16}{6} \cdot 3$

$d = \frac{16}{6} \cdot 3$

Simplify the right side.

Simplify $\frac{16}{6} \cdot 3$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$d = \frac{16}{3 (2)} \cdot 3$

Cancel the common factor.

$d = \frac{16}{3 \cdot 2} \cdot 3$

Rewrite the expression.

$d = \frac{16}{2}$

$d = \frac{16}{2}$

Divide $16$ by $2$ .

$d = 8$

$d = 8$

$d = 8$

$d = 8$

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