Solve 3m-(9/m)/m+frac{3{5}}

$$\frac { 3 m - ( \frac { 9 } { m } ) } { m + \frac { 3 } { 5 } }$$

Evaluate

$$\frac{15\left(m^{2}-3\right)}{m\left(5m+3\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3m times \frac{m}{m}.

$$\frac{\frac{3mm}{m}-\frac{9}{m}}{m+\frac{3}{5}}$$

Since \frac{3mm}{m} and \frac{9}{m} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3mm-9}{m}}{m+\frac{3}{5}}$$

Do the multiplications in 3mm-9.

$$\frac{\frac{3m^{2}-9}{m}}{m+\frac{3}{5}}$$

Express \frac{\frac{3m^{2}-9}{m}}{m+\frac{3}{5}} as a single fraction.

$$\frac{3m^{2}-9}{m\left(m+\frac{3}{5}\right)}$$

Use the distributive property to multiply m by m+\frac{3}{5}.

$$\frac{3m^{2}-9}{m^{2}+m\times \frac{3}{5}}$$

Expand

$$\frac{15\left(m^{2}-3\right)}{m\left(5m+3\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3m times \frac{m}{m}.

$$\frac{\frac{3mm}{m}-\frac{9}{m}}{m+\frac{3}{5}}$$

Since \frac{3mm}{m} and \frac{9}{m} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3mm-9}{m}}{m+\frac{3}{5}}$$

Do the multiplications in 3mm-9.

$$\frac{\frac{3m^{2}-9}{m}}{m+\frac{3}{5}}$$

Express \frac{\frac{3m^{2}-9}{m}}{m+\frac{3}{5}} as a single fraction.

$$\frac{3m^{2}-9}{m\left(m+\frac{3}{5}\right)}$$

Use the distributive property to multiply m by m+\frac{3}{5}.

$$\frac{3m^{2}-9}{m^{2}+m\times \frac{3}{5}}$$