Evaluate
\frac{g}{2}+\frac{v}{l}
Factor
\frac{g+\frac{2v}{l}}{2}
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\frac{2v}{2l}+\frac{gl}{2l}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of l and 2 is 2l. Multiply \frac{v}{l} times \frac{2}{2}. Multiply \frac{g}{2} times \frac{l}{l}.
\frac{2v+gl}{2l}
Since \frac{2v}{2l} and \frac{gl}{2l} have the same denominator, add them by adding their numerators.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
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Limits
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