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\frac{\frac{4y}{xy}-\frac{3x}{xy}}{\frac{5}{x}+\frac{6}{y}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and y is xy. Multiply \frac{4}{x} times \frac{y}{y}. Multiply \frac{3}{y} times \frac{x}{x}.
\frac{\frac{4y-3x}{xy}}{\frac{5}{x}+\frac{6}{y}}
Since \frac{4y}{xy} and \frac{3x}{xy} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{4y-3x}{xy}}{\frac{5y}{xy}+\frac{6x}{xy}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and y is xy. Multiply \frac{5}{x} times \frac{y}{y}. Multiply \frac{6}{y} times \frac{x}{x}.
\frac{\frac{4y-3x}{xy}}{\frac{5y+6x}{xy}}
Since \frac{5y}{xy} and \frac{6x}{xy} have the same denominator, add them by adding their numerators.
\frac{\left(4y-3x\right)xy}{xy\left(5y+6x\right)}
Divide \frac{4y-3x}{xy} by \frac{5y+6x}{xy} by multiplying \frac{4y-3x}{xy} by the reciprocal of \frac{5y+6x}{xy}.
\frac{-3x+4y}{6x+5y}
Cancel out xy in both numerator and denominator.
\frac{\frac{4y}{xy}-\frac{3x}{xy}}{\frac{5}{x}+\frac{6}{y}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and y is xy. Multiply \frac{4}{x} times \frac{y}{y}. Multiply \frac{3}{y} times \frac{x}{x}.
\frac{\frac{4y-3x}{xy}}{\frac{5}{x}+\frac{6}{y}}
Since \frac{4y}{xy} and \frac{3x}{xy} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{4y-3x}{xy}}{\frac{5y}{xy}+\frac{6x}{xy}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and y is xy. Multiply \frac{5}{x} times \frac{y}{y}. Multiply \frac{6}{y} times \frac{x}{x}.
\frac{\frac{4y-3x}{xy}}{\frac{5y+6x}{xy}}
Since \frac{5y}{xy} and \frac{6x}{xy} have the same denominator, add them by adding their numerators.
\frac{\left(4y-3x\right)xy}{xy\left(5y+6x\right)}
Divide \frac{4y-3x}{xy} by \frac{5y+6x}{xy} by multiplying \frac{4y-3x}{xy} by the reciprocal of \frac{5y+6x}{xy}.
\frac{-3x+4y}{6x+5y}
Cancel out xy in both numerator and denominator.