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\frac{4\times 3}{3m}-\frac{nm}{3m}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of m and 3 is 3m. Multiply \frac{4}{m} times \frac{3}{3}. Multiply \frac{n}{3} times \frac{m}{m}.
\frac{4\times 3-nm}{3m}
Since \frac{4\times 3}{3m} and \frac{nm}{3m} have the same denominator, subtract them by subtracting their numerators.
\frac{12-nm}{3m}
Do the multiplications in 4\times 3-nm.