Evaluate
0.015
Factor
\frac{3}{2 ^ {3} \cdot 5 ^ {2}} = 0.015
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\frac{0.25\left(-0.75\right)\left(0.25+1\right)\left(-0.384\right)}{6}
Subtract 1 from 0.25 to get -0.75.
\frac{-0.1875\left(0.25+1\right)\left(-0.384\right)}{6}
Multiply 0.25 and -0.75 to get -0.1875.
\frac{-0.1875\times 1.25\left(-0.384\right)}{6}
Add 0.25 and 1 to get 1.25.
\frac{-0.234375\left(-0.384\right)}{6}
Multiply -0.1875 and 1.25 to get -0.234375.
\frac{0.09}{6}
Multiply -0.234375 and -0.384 to get 0.09.
\frac{9}{600}
Expand \frac{0.09}{6} by multiplying both numerator and the denominator by 100.
\frac{3}{200}
Reduce the fraction \frac{9}{600} to lowest terms by extracting and canceling out 3.
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}