Evaluate
\frac{44y-7x}{14xy}
Factor
\frac{-\frac{7x}{y}+44}{14x}
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\frac{1}{7x}+\frac{3\times 7}{7x}-\frac{1}{2y}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x and x is 7x. Multiply \frac{3}{x} times \frac{7}{7}.
\frac{1+3\times 7}{7x}-\frac{1}{2y}
Since \frac{1}{7x} and \frac{3\times 7}{7x} have the same denominator, add them by adding their numerators.
\frac{1+21}{7x}-\frac{1}{2y}
Do the multiplications in 1+3\times 7.
\frac{22}{7x}-\frac{1}{2y}
Do the calculations in 1+21.
\frac{22\times 2y}{14xy}-\frac{7x}{14xy}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x and 2y is 14xy. Multiply \frac{22}{7x} times \frac{2y}{2y}. Multiply \frac{1}{2y} times \frac{7x}{7x}.
\frac{22\times 2y-7x}{14xy}
Since \frac{22\times 2y}{14xy} and \frac{7x}{14xy} have the same denominator, subtract them by subtracting their numerators.
\frac{44y-7x}{14xy}
Do the multiplications in 22\times 2y-7x.
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}