Evaluate
\frac{85}{9}\approx 9.444444444
Factor
\frac{5 \cdot 17}{3 ^ {2}} = 9\frac{4}{9} = 9.444444444444445
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\frac{\left(5\times 3+2\right)\times 5}{3\times 3}
Divide \frac{5\times 3+2}{3} by \frac{3}{5} by multiplying \frac{5\times 3+2}{3} by the reciprocal of \frac{3}{5}.
\frac{\left(15+2\right)\times 5}{3\times 3}
Multiply 5 and 3 to get 15.
\frac{17\times 5}{3\times 3}
Add 15 and 2 to get 17.
\frac{85}{3\times 3}
Multiply 17 and 5 to get 85.
\frac{85}{9}
Multiply 3 and 3 to get 9.
Examples
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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}