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\frac{nn}{mn}+\frac{mm}{mn}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of m and n is mn. Multiply \frac{n}{m} times \frac{n}{n}. Multiply \frac{m}{n} times \frac{m}{m}.
\frac{nn+mm}{mn}
Since \frac{nn}{mn} and \frac{mm}{mn} have the same denominator, add them by adding their numerators.
\frac{n^{2}+m^{2}}{mn}
Do the multiplications in nn+mm.