Question

question #8 perform the indicated operation for the given rational expressions: $\frac{3n}{5}-\frac{4m}{5n}$. write the answer in simplest form.
$\frac{3n - 4m}{25}$
$\frac{3n - 4m}{25n}$
$\frac{3m^{2}-4n}{5n}$
$\frac{3n^{2}-4m}{5n}$

Explanation:

Step1: Find common denominator

The common denominator of 5 and 5n is 5n.

Step2: Rewrite fractions

Rewrite $\frac{3n}{5}$ as $\frac{3n\times n}{5\times n}=\frac{3n^{2}}{5n}$. The second - fraction $\frac{4m}{5n}$ remains the same.

Step3: Subtract fractions

$\frac{3n^{2}}{5n}-\frac{4m}{5n}=\frac{3n^{2}-4m}{5n}$

Answer:

$\frac{3n^{2}-4m}{5n}$