Evaluate
\frac{900}{77}\approx 11.688311688
Factor
\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}}{7 \cdot 11} = 11\frac{53}{77} = 11.688311688311689
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4\times \frac{50}{1}\times \frac{18}{308}
Anything divided by one gives itself.
4\times 50\times \frac{18}{308}
Anything divided by one gives itself.
200\times \frac{18}{308}
Multiply 4 and 50 to get 200.
200\times \frac{9}{154}
Reduce the fraction \frac{18}{308} to lowest terms by extracting and canceling out 2.
\frac{200\times 9}{154}
Express 200\times \frac{9}{154} as a single fraction.
\frac{1800}{154}
Multiply 200 and 9 to get 1800.
\frac{900}{77}
Reduce the fraction \frac{1800}{154} to lowest terms by extracting and canceling out 2.
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}