Evaluate
\frac{20822}{19}\approx 1095.894736842
Factor
\frac{2 \cdot 29 \cdot 359}{19} = 1095\frac{17}{19} = 1095.8947368421052
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2712-\frac{1181}{38}\times 52
Reduce the fraction \frac{3543}{114} to lowest terms by extracting and canceling out 3.
2712-\frac{1181\times 52}{38}
Express \frac{1181}{38}\times 52 as a single fraction.
2712-\frac{61412}{38}
Multiply 1181 and 52 to get 61412.
2712-\frac{30706}{19}
Reduce the fraction \frac{61412}{38} to lowest terms by extracting and canceling out 2.
\frac{51528}{19}-\frac{30706}{19}
Convert 2712 to fraction \frac{51528}{19}.
\frac{51528-30706}{19}
Since \frac{51528}{19} and \frac{30706}{19} have the same denominator, subtract them by subtracting their numerators.
\frac{20822}{19}
Subtract 30706 from 51528 to get 20822.
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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}