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\frac{\frac{9x}{x}+\frac{1}{x}}{7-\frac{1}{x}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 9 times \frac{x}{x}.
\frac{\frac{9x+1}{x}}{7-\frac{1}{x}}
Since \frac{9x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.
\frac{\frac{9x+1}{x}}{\frac{7x}{x}-\frac{1}{x}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{x}{x}.
\frac{\frac{9x+1}{x}}{\frac{7x-1}{x}}
Since \frac{7x}{x} and \frac{1}{x} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(9x+1\right)x}{x\left(7x-1\right)}
Divide \frac{9x+1}{x} by \frac{7x-1}{x} by multiplying \frac{9x+1}{x} by the reciprocal of \frac{7x-1}{x}.
\frac{9x+1}{7x-1}
Cancel out x in both numerator and denominator.
\frac{\frac{9x}{x}+\frac{1}{x}}{7-\frac{1}{x}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 9 times \frac{x}{x}.
\frac{\frac{9x+1}{x}}{7-\frac{1}{x}}
Since \frac{9x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.
\frac{\frac{9x+1}{x}}{\frac{7x}{x}-\frac{1}{x}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{x}{x}.
\frac{\frac{9x+1}{x}}{\frac{7x-1}{x}}
Since \frac{7x}{x} and \frac{1}{x} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(9x+1\right)x}{x\left(7x-1\right)}
Divide \frac{9x+1}{x} by \frac{7x-1}{x} by multiplying \frac{9x+1}{x} by the reciprocal of \frac{7x-1}{x}.
\frac{9x+1}{7x-1}
Cancel out x in both numerator and denominator.