Evaluate
\frac{325}{1314}\approx 0.247336377
Factor
\frac{5 ^ {2} \cdot 13}{2 \cdot 3 ^ {2} \cdot 73} = 0.24733637747336376
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\frac{\frac{7500+90000}{365}}{400\times 9\times 300}\times 1000
Multiply 300 and 300 to get 90000.
\frac{\frac{97500}{365}}{400\times 9\times 300}\times 1000
Add 7500 and 90000 to get 97500.
\frac{\frac{19500}{73}}{400\times 9\times 300}\times 1000
Reduce the fraction \frac{97500}{365} to lowest terms by extracting and canceling out 5.
\frac{\frac{19500}{73}}{3600\times 300}\times 1000
Multiply 400 and 9 to get 3600.
\frac{\frac{19500}{73}}{1080000}\times 1000
Multiply 3600 and 300 to get 1080000.
\frac{19500}{73\times 1080000}\times 1000
Express \frac{\frac{19500}{73}}{1080000} as a single fraction.
\frac{19500}{78840000}\times 1000
Multiply 73 and 1080000 to get 78840000.
\frac{13}{52560}\times 1000
Reduce the fraction \frac{19500}{78840000} to lowest terms by extracting and canceling out 1500.
\frac{13\times 1000}{52560}
Express \frac{13}{52560}\times 1000 as a single fraction.
\frac{13000}{52560}
Multiply 13 and 1000 to get 13000.
\frac{325}{1314}
Reduce the fraction \frac{13000}{52560} to lowest terms by extracting and canceling out 40.
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}