Evaluate
\frac{138}{19}\approx 7.263157895
Factor
\frac{2 \cdot 3 \cdot 23}{19} = 7\frac{5}{19} = 7.2631578947368425
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35-\frac{513+14}{19}
Multiply 27 and 19 to get 513.
35-\frac{527}{19}
Add 513 and 14 to get 527.
\frac{665}{19}-\frac{527}{19}
Convert 35 to fraction \frac{665}{19}.
\frac{665-527}{19}
Since \frac{665}{19} and \frac{527}{19} have the same denominator, subtract them by subtracting their numerators.
\frac{138}{19}
Subtract 527 from 665 to get 138.
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}