Evaluate
\frac{66}{5}=13.2
Factor
\frac{2 \cdot 3 \cdot 11}{5} = 13\frac{1}{5} = 13.2
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\frac{16+2}{4}+\frac{8\times 10+7}{10}
Multiply 4 and 4 to get 16.
\frac{18}{4}+\frac{8\times 10+7}{10}
Add 16 and 2 to get 18.
\frac{9}{2}+\frac{8\times 10+7}{10}
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.
\frac{9}{2}+\frac{80+7}{10}
Multiply 8 and 10 to get 80.
\frac{9}{2}+\frac{87}{10}
Add 80 and 7 to get 87.
\frac{45}{10}+\frac{87}{10}
Least common multiple of 2 and 10 is 10. Convert \frac{9}{2} and \frac{87}{10} to fractions with denominator 10.
\frac{45+87}{10}
Since \frac{45}{10} and \frac{87}{10} have the same denominator, add them by adding their numerators.
\frac{132}{10}
Add 45 and 87 to get 132.
\frac{66}{5}
Reduce the fraction \frac{132}{10} to lowest terms by extracting and canceling out 2.
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}