Evaluate
\frac{153}{7}\approx 21.857142857
Factor
\frac{3 ^ {2} \cdot 17}{7} = 21\frac{6}{7} = 21.857142857142858
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9+\frac{84+6}{7}
Multiply 12 and 7 to get 84.
9+\frac{90}{7}
Add 84 and 6 to get 90.
\frac{63}{7}+\frac{90}{7}
Convert 9 to fraction \frac{63}{7}.
\frac{63+90}{7}
Since \frac{63}{7} and \frac{90}{7} have the same denominator, add them by adding their numerators.
\frac{153}{7}
Add 63 and 90 to get 153.
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}