Evaluate
-\frac{16}{13}\approx -1.230769231
Factor
-\frac{16}{13} = -1\frac{3}{13} = -1.2307692307692308
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\frac{-4\times 4}{3\times 4+1}
Divide -4 by \frac{3\times 4+1}{4} by multiplying -4 by the reciprocal of \frac{3\times 4+1}{4}.
\frac{-16}{3\times 4+1}
Multiply -4 and 4 to get -16.
\frac{-16}{12+1}
Multiply 3 and 4 to get 12.
\frac{-16}{13}
Add 12 and 1 to get 13.
-\frac{16}{13}
Fraction \frac{-16}{13} can be rewritten as -\frac{16}{13} by extracting the negative sign.
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
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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}