- \frac{ 67 }{ 2 } +(-11+40
Evaluate
-\frac{9}{2}=-4.5
Factor
-\frac{9}{2} = -4\frac{1}{2} = -4.5
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-\frac{67}{2}-\frac{22}{2}+40
Convert 11 to fraction \frac{22}{2}.
\frac{-67-22}{2}+40
Since -\frac{67}{2} and \frac{22}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{89}{2}+40
Subtract 22 from -67 to get -89.
-\frac{89}{2}+\frac{80}{2}
Convert 40 to fraction \frac{80}{2}.
\frac{-89+80}{2}
Since -\frac{89}{2} and \frac{80}{2} have the same denominator, add them by adding their numerators.
-\frac{9}{2}
Add -89 and 80 to get -9.
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}