Evaluate
\frac{11254}{25}=450.16
Factor
\frac{2 \cdot 17 \cdot 331}{5 ^ {2}} = 450\frac{4}{25} = 450.16
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3000\times \frac{3}{20}+\frac{16}{100}
Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.
\frac{3000\times 3}{20}+\frac{16}{100}
Express 3000\times \frac{3}{20} as a single fraction.
\frac{9000}{20}+\frac{16}{100}
Multiply 3000 and 3 to get 9000.
450+\frac{16}{100}
Divide 9000 by 20 to get 450.
450+\frac{4}{25}
Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.
\frac{11250}{25}+\frac{4}{25}
Convert 450 to fraction \frac{11250}{25}.
\frac{11250+4}{25}
Since \frac{11250}{25} and \frac{4}{25} have the same denominator, add them by adding their numerators.
\frac{11254}{25}
Add 11250 and 4 to get 11254.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}