Evaluate
\frac{5x-4}{9x-16}
Expand
\frac{5x-4}{9x-16}
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\frac{\frac{5x}{4}-1}{9\times \frac{x}{4}-4}
Express 5\times \frac{x}{4} as a single fraction.
\frac{\frac{5x}{4}-\frac{4}{4}}{9\times \frac{x}{4}-4}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4}{4}.
\frac{\frac{5x-4}{4}}{9\times \frac{x}{4}-4}
Since \frac{5x}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{5x-4}{4}}{\frac{9x}{4}-4}
Express 9\times \frac{x}{4} as a single fraction.
\frac{\frac{5x-4}{4}}{\frac{9x}{4}-\frac{4\times 4}{4}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{4}{4}.
\frac{\frac{5x-4}{4}}{\frac{9x-4\times 4}{4}}
Since \frac{9x}{4} and \frac{4\times 4}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{5x-4}{4}}{\frac{9x-16}{4}}
Do the multiplications in 9x-4\times 4.
\frac{\left(5x-4\right)\times 4}{4\left(9x-16\right)}
Divide \frac{5x-4}{4} by \frac{9x-16}{4} by multiplying \frac{5x-4}{4} by the reciprocal of \frac{9x-16}{4}.
\frac{5x-4}{9x-16}
Cancel out 4 in both numerator and denominator.
\frac{\frac{5x}{4}-1}{9\times \frac{x}{4}-4}
Express 5\times \frac{x}{4} as a single fraction.
\frac{\frac{5x}{4}-\frac{4}{4}}{9\times \frac{x}{4}-4}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4}{4}.
\frac{\frac{5x-4}{4}}{9\times \frac{x}{4}-4}
Since \frac{5x}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{5x-4}{4}}{\frac{9x}{4}-4}
Express 9\times \frac{x}{4} as a single fraction.
\frac{\frac{5x-4}{4}}{\frac{9x}{4}-\frac{4\times 4}{4}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{4}{4}.
\frac{\frac{5x-4}{4}}{\frac{9x-4\times 4}{4}}
Since \frac{9x}{4} and \frac{4\times 4}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{5x-4}{4}}{\frac{9x-16}{4}}
Do the multiplications in 9x-4\times 4.
\frac{\left(5x-4\right)\times 4}{4\left(9x-16\right)}
Divide \frac{5x-4}{4} by \frac{9x-16}{4} by multiplying \frac{5x-4}{4} by the reciprocal of \frac{9x-16}{4}.
\frac{5x-4}{9x-16}
Cancel out 4 in both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}