Evaluate
\frac{75}{11}\approx 6.818181818
Factor
\frac{3 \cdot 5 ^ {2}}{11} = 6\frac{9}{11} = 6.818181818181818
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12\times \frac{6}{11}+\frac{3}{11}
Multiply 4 and 3 to get 12.
\frac{12\times 6}{11}+\frac{3}{11}
Express 12\times \frac{6}{11} as a single fraction.
\frac{72}{11}+\frac{3}{11}
Multiply 12 and 6 to get 72.
\frac{72+3}{11}
Since \frac{72}{11} and \frac{3}{11} have the same denominator, add them by adding their numerators.
\frac{75}{11}
Add 72 and 3 to get 75.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
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}