Evaluate
0.1248
Factor
\frac{2 \cdot 3 \cdot 13}{5 ^ {4}} = 0.1248
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\frac{0.4\left(-0.6\right)\left(0.4-2\right)\left(0.4-3\right)\left(-3\right)}{24}
Subtract 1 from 0.4 to get -0.6.
\frac{-0.24\left(0.4-2\right)\left(0.4-3\right)\left(-3\right)}{24}
Multiply 0.4 and -0.6 to get -0.24.
\frac{-0.24\left(-1.6\right)\left(0.4-3\right)\left(-3\right)}{24}
Subtract 2 from 0.4 to get -1.6.
\frac{0.384\left(0.4-3\right)\left(-3\right)}{24}
Multiply -0.24 and -1.6 to get 0.384.
\frac{0.384\left(-2.6\right)\left(-3\right)}{24}
Subtract 3 from 0.4 to get -2.6.
\frac{-0.9984\left(-3\right)}{24}
Multiply 0.384 and -2.6 to get -0.9984.
\frac{2.9952}{24}
Multiply -0.9984 and -3 to get 2.9952.
\frac{29952}{240000}
Expand \frac{2.9952}{24} by multiplying both numerator and the denominator by 10000.
\frac{78}{625}
Reduce the fraction \frac{29952}{240000} to lowest terms by extracting and canceling out 384.
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}