Evaluate
\frac{273}{2}=136.5
Factor
\frac{3 \cdot 7 \cdot 13}{2} = 136\frac{1}{2} = 136.5
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\frac{24+1}{3}\times \frac{5\times 4+1}{4}\times \frac{3\times 25+3}{25}
Multiply 8 and 3 to get 24.
\frac{25}{3}\times \frac{5\times 4+1}{4}\times \frac{3\times 25+3}{25}
Add 24 and 1 to get 25.
\frac{25}{3}\times \frac{20+1}{4}\times \frac{3\times 25+3}{25}
Multiply 5 and 4 to get 20.
\frac{25}{3}\times \frac{21}{4}\times \frac{3\times 25+3}{25}
Add 20 and 1 to get 21.
\frac{25\times 21}{3\times 4}\times \frac{3\times 25+3}{25}
Multiply \frac{25}{3} times \frac{21}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{525}{12}\times \frac{3\times 25+3}{25}
Do the multiplications in the fraction \frac{25\times 21}{3\times 4}.
\frac{175}{4}\times \frac{3\times 25+3}{25}
Reduce the fraction \frac{525}{12} to lowest terms by extracting and canceling out 3.
\frac{175}{4}\times \frac{75+3}{25}
Multiply 3 and 25 to get 75.
\frac{175}{4}\times \frac{78}{25}
Add 75 and 3 to get 78.
\frac{175\times 78}{4\times 25}
Multiply \frac{175}{4} times \frac{78}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{13650}{100}
Do the multiplications in the fraction \frac{175\times 78}{4\times 25}.
\frac{273}{2}
Reduce the fraction \frac{13650}{100} to lowest terms by extracting and canceling out 50.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}