Evaluate
\frac{57}{5}=11.4
Factor
\frac{3 \cdot 19}{5} = 11\frac{2}{5} = 11.4
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\frac{120+4}{15}+\frac{3\times 15+2}{15}
Multiply 8 and 15 to get 120.
\frac{124}{15}+\frac{3\times 15+2}{15}
Add 120 and 4 to get 124.
\frac{124}{15}+\frac{45+2}{15}
Multiply 3 and 15 to get 45.
\frac{124}{15}+\frac{47}{15}
Add 45 and 2 to get 47.
\frac{124+47}{15}
Since \frac{124}{15} and \frac{47}{15} have the same denominator, add them by adding their numerators.
\frac{171}{15}
Add 124 and 47 to get 171.
\frac{57}{5}
Reduce the fraction \frac{171}{15} to lowest terms by extracting and canceling out 3.
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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}