Evaluate
-\frac{1}{57}\approx -0.01754386
Factor
-\frac{1}{57} = -0.017543859649122806
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\frac{-8}{8\left(7\times 8+1\right)}
Divide -\frac{1}{8} by \frac{7\times 8+1}{8} by multiplying -\frac{1}{8} by the reciprocal of \frac{7\times 8+1}{8}.
\frac{-1}{1+7\times 8}
Cancel out 8 in both numerator and denominator.
\frac{-1}{1+56}
Multiply 7 and 8 to get 56.
\frac{-1}{57}
Add 1 and 56 to get 57.
-\frac{1}{57}
Fraction \frac{-1}{57} can be rewritten as -\frac{1}{57} by extracting the negative sign.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}