Evaluate
-\frac{390}{11}\approx -35.454545455
Factor
-\frac{390}{11} = -35\frac{5}{11} = -35.45454545454545
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\frac{66+6}{11}-42
Multiply 6 and 11 to get 66.
\frac{72}{11}-42
Add 66 and 6 to get 72.
\frac{72}{11}-\frac{462}{11}
Convert 42 to fraction \frac{462}{11}.
\frac{72-462}{11}
Since \frac{72}{11} and \frac{462}{11} have the same denominator, subtract them by subtracting their numerators.
-\frac{390}{11}
Subtract 462 from 72 to get -390.
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}