Evaluate
\frac{75}{2}=37.5
Factor
\frac{3 \cdot 5 ^ {2}}{2} = 37\frac{1}{2} = 37.5
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-36+72-2+\frac{7}{2}
The opposite of -72 is 72.
36-2+\frac{7}{2}
Add -36 and 72 to get 36.
34+\frac{7}{2}
Subtract 2 from 36 to get 34.
\frac{68}{2}+\frac{7}{2}
Convert 34 to fraction \frac{68}{2}.
\frac{68+7}{2}
Since \frac{68}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.
\frac{75}{2}
Add 68 and 7 to get 75.
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}