Solve for b 4/3b=18

$\frac{4}{3} b = 18$

Multiply both sides of the equation by $\frac{3}{4}$ .

$\frac{3}{4} (\frac{4}{3} b) = \frac{3}{4} \cdot 18$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{4} (\frac{4}{3} b)$ .

Combine $\frac{4}{3}$ and $b$ .

$\frac{3}{4} \cdot \frac{4 b}{3} = \frac{3}{4} \cdot 18$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 b}{3} = \frac{3}{4} \cdot 18$

Rewrite the expression.

$\frac{1}{4} (4 b) = \frac{3}{4} \cdot 18$

Cancel the common factor of $4$ .

Factor $4$ out of $4 b$ .

$\frac{1}{4} (4 (b)) = \frac{3}{4} \cdot 18$

Cancel the common factor.

$\frac{1}{4} (4 b) = \frac{3}{4} \cdot 18$

Rewrite the expression.

$b = \frac{3}{4} \cdot 18$

Simplify the right side.

Simplify $\frac{3}{4} \cdot 18$ .

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$b = \frac{3}{2 (2)} \cdot 18$

Factor $2$ out of $18$ .

$b = \frac{3}{2 \cdot 2} \cdot (2 \cdot 9)$

Cancel the common factor.

$b = \frac{3}{2 \cdot 2} \cdot (2 \cdot 9)$

Rewrite the expression.

$b = \frac{3}{2} \cdot 9$

Combine $\frac{3}{2}$ and $9$ .

$b = \frac{3 \cdot 9}{2}$

Multiply $3$ by $9$ .

$b = \frac{27}{2}$

The result can be shown in multiple forms.

Exact Form:

$b = \frac{27}{2}$

Decimal Form:

$b = 13.5$

Mixed Number Form:

$b = 13 \frac{1}{2}$