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\frac{2\times 3}{3x}+\frac{7}{3x}+\frac{x-1}{x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 3x is 3x. Multiply \frac{2}{x} times \frac{3}{3}.
\frac{2\times 3+7}{3x}+\frac{x-1}{x}
Since \frac{2\times 3}{3x} and \frac{7}{3x} have the same denominator, add them by adding their numerators.
\frac{6+7}{3x}+\frac{x-1}{x}
Do the multiplications in 2\times 3+7.
\frac{13}{3x}+\frac{x-1}{x}
Do the calculations in 6+7.
\frac{13}{3x}+\frac{3\left(x-1\right)}{3x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x and x is 3x. Multiply \frac{x-1}{x} times \frac{3}{3}.
\frac{13+3\left(x-1\right)}{3x}
Since \frac{13}{3x} and \frac{3\left(x-1\right)}{3x} have the same denominator, add them by adding their numerators.
\frac{13+3x-3}{3x}
Do the multiplications in 13+3\left(x-1\right).
\frac{10+3x}{3x}
Combine like terms in 13+3x-3.
\frac{2\times 3}{3x}+\frac{7}{3x}+\frac{x-1}{x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and 3x is 3x. Multiply \frac{2}{x} times \frac{3}{3}.
\frac{2\times 3+7}{3x}+\frac{x-1}{x}
Since \frac{2\times 3}{3x} and \frac{7}{3x} have the same denominator, add them by adding their numerators.
\frac{6+7}{3x}+\frac{x-1}{x}
Do the multiplications in 2\times 3+7.
\frac{13}{3x}+\frac{x-1}{x}
Do the calculations in 6+7.
\frac{13}{3x}+\frac{3\left(x-1\right)}{3x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x and x is 3x. Multiply \frac{x-1}{x} times \frac{3}{3}.
\frac{13+3\left(x-1\right)}{3x}
Since \frac{13}{3x} and \frac{3\left(x-1\right)}{3x} have the same denominator, add them by adding their numerators.
\frac{13+3x-3}{3x}
Do the multiplications in 13+3\left(x-1\right).
\frac{10+3x}{3x}
Combine like terms in 13+3x-3.