Solve 9x/4<3/5Rightarrow

$$\frac { 9 x } { 4 } < \frac { 3 } { 5 } \Rightarrow$$

Solve for x

$$x<\frac{4}{15}$$

Solution Steps

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

$$9x<\frac{3}{5}\times 4$$

Express \frac{3}{5}\times 4 as a single fraction.

$$9x<\frac{3\times 4}{5}$$

Multiply 3 and 4 to get 12.

$$9x<\frac{12}{5}$$

Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.

$$x<\frac{\frac{12}{5}}{9}$$

Express \frac{\frac{12}{5}}{9} as a single fraction.

$$x<\frac{12}{5\times 9}$$

Multiply 5 and 9 to get 45.

$$x<\frac{12}{45}$$

Reduce the fraction \frac{12}{45} to lowest terms by extracting and canceling out 3.

$$x<\frac{4}{15}$$