Evaluate
\frac{2837}{21}\approx 135.095238095
Factor
\frac{2837}{3 \cdot 7} = 135\frac{2}{21} = 135.0952380952381
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\frac{1144}{7}-20\times \frac{8.5}{6}
Multiply 8 and 143 to get 1144.
\frac{1144}{7}-20\times \frac{85}{60}
Expand \frac{8.5}{6} by multiplying both numerator and the denominator by 10.
\frac{1144}{7}-20\times \frac{17}{12}
Reduce the fraction \frac{85}{60} to lowest terms by extracting and canceling out 5.
\frac{1144}{7}-\frac{20\times 17}{12}
Express 20\times \frac{17}{12} as a single fraction.
\frac{1144}{7}-\frac{340}{12}
Multiply 20 and 17 to get 340.
\frac{1144}{7}-\frac{85}{3}
Reduce the fraction \frac{340}{12} to lowest terms by extracting and canceling out 4.
\frac{3432}{21}-\frac{595}{21}
Least common multiple of 7 and 3 is 21. Convert \frac{1144}{7} and \frac{85}{3} to fractions with denominator 21.
\frac{3432-595}{21}
Since \frac{3432}{21} and \frac{595}{21} have the same denominator, subtract them by subtracting their numerators.
\frac{2837}{21}
Subtract 595 from 3432 to get 2837.
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}