40.5 \times 8.5 \%
Evaluate
3.4425
Factor
\frac{17 \cdot 3 ^ {4}}{2 ^ {4} \cdot 5 ^ {2}} = 3\frac{177}{400} = 3.4425
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40.5\times \frac{85}{1000}
Expand \frac{8.5}{100} by multiplying both numerator and the denominator by 10.
40.5\times \frac{17}{200}
Reduce the fraction \frac{85}{1000} to lowest terms by extracting and canceling out 5.
\frac{81}{2}\times \frac{17}{200}
Convert decimal number 40.5 to fraction \frac{405}{10}. Reduce the fraction \frac{405}{10} to lowest terms by extracting and canceling out 5.
\frac{81\times 17}{2\times 200}
Multiply \frac{81}{2} times \frac{17}{200} by multiplying numerator times numerator and denominator times denominator.
\frac{1377}{400}
Do the multiplications in the fraction \frac{81\times 17}{2\times 200}.
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}