Evaluate
\frac{13}{17}\approx 0.764705882
Factor
\frac{13}{17} = 0.7647058823529411
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\frac{\left(5\times 9+7\right)\times 9}{9\left(7\times 9+5\right)}
Divide \frac{5\times 9+7}{9} by \frac{7\times 9+5}{9} by multiplying \frac{5\times 9+7}{9} by the reciprocal of \frac{7\times 9+5}{9}.
\frac{7+5\times 9}{5+7\times 9}
Cancel out 9 in both numerator and denominator.
\frac{7+45}{5+7\times 9}
Multiply 5 and 9 to get 45.
\frac{52}{5+7\times 9}
Add 7 and 45 to get 52.
\frac{52}{5+63}
Multiply 7 and 9 to get 63.
\frac{52}{68}
Add 5 and 63 to get 68.
\frac{13}{17}
Reduce the fraction \frac{52}{68} to lowest terms by extracting and canceling out 4.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}