Evaluate
\frac{19}{5}=3.8
Factor
\frac{19}{5} = 3\frac{4}{5} = 3.8
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\frac{10+1}{5}+\frac{1\times 5+3}{5}
Multiply 2 and 5 to get 10.
\frac{11}{5}+\frac{1\times 5+3}{5}
Add 10 and 1 to get 11.
\frac{11}{5}+\frac{5+3}{5}
Multiply 1 and 5 to get 5.
\frac{11}{5}+\frac{8}{5}
Add 5 and 3 to get 8.
\frac{11+8}{5}
Since \frac{11}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.
\frac{19}{5}
Add 11 and 8 to get 19.
Examples
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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
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}