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\frac{3x}{10x^{2}}+\frac{7\times 2}{10x^{2}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10x and 5x^{2} is 10x^{2}. Multiply \frac{3}{10x} times \frac{x}{x}. Multiply \frac{7}{5x^{2}} times \frac{2}{2}.
\frac{3x+7\times 2}{10x^{2}}
Since \frac{3x}{10x^{2}} and \frac{7\times 2}{10x^{2}} have the same denominator, add them by adding their numerators.
\frac{3x+14}{10x^{2}}
Do the multiplications in 3x+7\times 2.