Solve 3b/4leq2/3

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

Solve for b

$$b\leq \frac{8}{9}$$

Solution Steps

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

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

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

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

Multiply 2 and 4 to get 8.

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

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

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

Express \frac{\frac{8}{3}}{3} as a single fraction.

$$b\leq \frac{8}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$b\leq \frac{8}{9}$$