Evaluate
9.225
Factor
\frac{41 \cdot 3 ^ {2}}{5 \cdot 2 ^ {3}} = 9\frac{9}{40} = 9.225
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\frac{615}{540}\times 8.1
Expand \frac{6.15}{5.4} by multiplying both numerator and the denominator by 100.
\frac{41}{36}\times 8.1
Reduce the fraction \frac{615}{540} to lowest terms by extracting and canceling out 15.
\frac{41}{36}\times \frac{81}{10}
Convert decimal number 8.1 to fraction \frac{81}{10}.
\frac{41\times 81}{36\times 10}
Multiply \frac{41}{36} times \frac{81}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{3321}{360}
Do the multiplications in the fraction \frac{41\times 81}{36\times 10}.
\frac{369}{40}
Reduce the fraction \frac{3321}{360} to lowest terms by extracting and canceling out 9.
Examples
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{ 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}