Evaluate
\frac{82}{13}\approx 6.307692308
Factor
\frac{2 \cdot 41}{13} = 6\frac{4}{13} = 6.3076923076923075
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\frac{9\times 9}{13}+\frac{\frac{9}{13}}{9}
Express 9\times \frac{9}{13} as a single fraction.
\frac{81}{13}+\frac{\frac{9}{13}}{9}
Multiply 9 and 9 to get 81.
\frac{81}{13}+\frac{9}{13\times 9}
Express \frac{\frac{9}{13}}{9} as a single fraction.
\frac{81}{13}+\frac{1}{13}
Cancel out 9 in both numerator and denominator.
\frac{81+1}{13}
Since \frac{81}{13} and \frac{1}{13} have the same denominator, add them by adding their numerators.
\frac{82}{13}
Add 81 and 1 to get 82.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}