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\frac{5}{5x}+\frac{2}{5x}+\frac{2}{3}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 5x is 5x. Multiply \frac{1}{x} times \frac{5}{5}.
\frac{7}{5x}+\frac{2}{3}
Since \frac{5}{5x} and \frac{2}{5x} have the same denominator, add them by adding their numerators. Add 5 and 2 to get 7.
\frac{7\times 3}{15x}+\frac{2\times 5x}{15x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5x and 3 is 15x. Multiply \frac{7}{5x} times \frac{3}{3}. Multiply \frac{2}{3} times \frac{5x}{5x}.
\frac{7\times 3+2\times 5x}{15x}
Since \frac{7\times 3}{15x} and \frac{2\times 5x}{15x} have the same denominator, add them by adding their numerators.
\frac{21+10x}{15x}
Do the multiplications in 7\times 3+2\times 5x.