Question

1. \\(\frac{5n}{2mn} - \frac{4m}{4}\\)

Explanation:

Step1: Simplify the first fraction

Simplify $\frac{5n}{2mn}$ by canceling out the common factor $n$ in the numerator and denominator. We get $\frac{5}{2m}$.

Step2: Simplify the second fraction

Simplify $\frac{4m}{4}$ by canceling out the common factor $4$ in the numerator and denominator. We get $m$.

Step3: Subtract the two simplified fractions

Now we have $\frac{5}{2m}-m$. To combine these, we need a common denominator, which is $2m$. Rewrite $m$ as $\frac{2m^2}{2m}$. Then subtract: $\frac{5 - 2m^2}{2m}$.

Answer:

$\frac{5 - 2m^2}{2m}$