Solve {l}{3/4*b/12=1/2*2/6=frac{2}{12}}{=frac{1}{6}}

$$\left. \begin{array} { l } { \frac { 3 } { 4 } \times \frac { b } { 12 } = \frac { 1 } { 2 } \times \frac { 2 } { 6 } = \frac { 2 } { 12 } } \\ { = \frac { 1 } { 6 } } \end{array} \right.$$

Solve for b

$$b = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,12,2,6.

$$\frac{3}{4}b=1\times 2$$

Multiply 1 and 2 to get 2.

$$\frac{3}{4}b=2$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$b=2\times \frac{4}{3}$$

Express 2\times \frac{4}{3} as a single fraction.

$$b=\frac{2\times 4}{3}$$

Multiply 2 and 4 to get 8.

$$b=\frac{8}{3}$$