Evaluate
-\frac{13}{3}\approx -4.333333333
Factor
-\frac{13}{3} = -4\frac{1}{3} = -4.333333333333333
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\frac{2\times 16-12\times 4+3}{3\times 4-9}
Calculate 4 to the power of 2 and get 16.
\frac{32-12\times 4+3}{3\times 4-9}
Multiply 2 and 16 to get 32.
\frac{32-48+3}{3\times 4-9}
Multiply 12 and 4 to get 48.
\frac{-16+3}{3\times 4-9}
Subtract 48 from 32 to get -16.
\frac{-13}{3\times 4-9}
Add -16 and 3 to get -13.
\frac{-13}{12-9}
Multiply 3 and 4 to get 12.
\frac{-13}{3}
Subtract 9 from 12 to get 3.
-\frac{13}{3}
Fraction \frac{-13}{3} can be rewritten as -\frac{13}{3} by extracting the negative sign.
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}