Evaluate
-\frac{4}{13}\approx -0.307692308
Factor
-\frac{4}{13} = -0.3076923076923077
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\left(\frac{3}{4}-\left(\frac{1}{4}\right)^{-1}\right)^{-1}
Calculate \frac{4}{3} to the power of -1 and get \frac{3}{4}.
\left(\frac{3}{4}-4\right)^{-1}
Calculate \frac{1}{4} to the power of -1 and get 4.
\left(-\frac{13}{4}\right)^{-1}
Subtract 4 from \frac{3}{4} to get -\frac{13}{4}.
-\frac{4}{13}
Calculate -\frac{13}{4} to the power of -1 and get -\frac{4}{13}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}