Question

Which expression is equivalent to mn²/mn+m²n² ? a.) 1/n+m b.) n/1+m²n² c.) n/1+mn d.) 1/m²n​

Answer 1

Given:

The given expression is $\frac{m n^{2}}{m n+m^{2} n^{2}}$

We need to determine the equivalent expression.

Equivalent expression:

The equivalent expression can be determined by simplifying the given expression.

Thus, let us factor out the common term "mn" from the denominator.

Thus, we have;

$\frac{m n^{2}}{n m(1+m n)}$

Cancelling the common terms, we get;

$\frac{n}{1+m n}$

Thus, the equivalent expression is $\frac{n}{1+m n}$

Hence, Option c is the correct answer.