Evaluate
\frac{1252}{13}\approx 96.307692308
Factor
\frac{2 ^ {2} \cdot 313}{13} = 96\frac{4}{13} = 96.3076923076923
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\frac{144}{-89+50}+100
Calculate 12 to the power of 2 and get 144.
\frac{144}{-39}+100
Add -89 and 50 to get -39.
-\frac{48}{13}+100
Reduce the fraction \frac{144}{-39} to lowest terms by extracting and canceling out 3.
-\frac{48}{13}+\frac{1300}{13}
Convert 100 to fraction \frac{1300}{13}.
\frac{-48+1300}{13}
Since -\frac{48}{13} and \frac{1300}{13} have the same denominator, add them by adding their numerators.
\frac{1252}{13}
Add -48 and 1300 to get 1252.
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}