Evaluate
\frac{3}{20}=0.15
Factor
\frac{3}{2 ^ {2} \cdot 5} = 0.15
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\frac{1}{8}+\left(2+1\right)^{-1}\times 3\times 40^{-1}
Calculate 2 to the power of -3 and get \frac{1}{8}.
\frac{1}{8}+3^{-1}\times 3\times 40^{-1}
Add 2 and 1 to get 3.
\frac{1}{8}+\frac{1}{3}\times 3\times 40^{-1}
Calculate 3 to the power of -1 and get \frac{1}{3}.
\frac{1}{8}+40^{-1}
Multiply \frac{1}{3} and 3 to get 1.
\frac{1}{8}+\frac{1}{40}
Calculate 40 to the power of -1 and get \frac{1}{40}.
\frac{3}{20}
Add \frac{1}{8} and \frac{1}{40} to get \frac{3}{20}.
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}