Evaluate
\frac{52}{5}=10.4
Factor
\frac{2 ^ {2} \cdot 13}{5} = 10\frac{2}{5} = 10.4
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8\times \frac{10+3}{10}
Multiply 1 and 10 to get 10.
8\times \frac{13}{10}
Add 10 and 3 to get 13.
\frac{8\times 13}{10}
Express 8\times \frac{13}{10} as a single fraction.
\frac{104}{10}
Multiply 8 and 13 to get 104.
\frac{52}{5}
Reduce the fraction \frac{104}{10} to lowest terms by extracting and canceling out 2.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}