Evaluate
2.14812
Factor
\frac{13 \cdot 17 \cdot 3 ^ {5}}{2 ^ {3} \cdot 5 ^ {5}} = 2\frac{3703}{25000} = 2.14812
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1.02\times 1.3\times 0.6\times \frac{4.8+4.2}{2}\times 0.6
Multiply 1 and 1.02 to get 1.02.
1.326\times 0.6\times \frac{4.8+4.2}{2}\times 0.6
Multiply 1.02 and 1.3 to get 1.326.
0.7956\times \frac{4.8+4.2}{2}\times 0.6
Multiply 1.326 and 0.6 to get 0.7956.
0.7956\times \frac{9}{2}\times 0.6
Add 4.8 and 4.2 to get 9.
\frac{1989}{2500}\times \frac{9}{2}\times 0.6
Convert decimal number 0.7956 to fraction \frac{7956}{10000}. Reduce the fraction \frac{7956}{10000} to lowest terms by extracting and canceling out 4.
\frac{1989\times 9}{2500\times 2}\times 0.6
Multiply \frac{1989}{2500} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{17901}{5000}\times 0.6
Do the multiplications in the fraction \frac{1989\times 9}{2500\times 2}.
\frac{17901}{5000}\times \frac{3}{5}
Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{17901\times 3}{5000\times 5}
Multiply \frac{17901}{5000} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{53703}{25000}
Do the multiplications in the fraction \frac{17901\times 3}{5000\times 5}.
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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
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}