Evaluate
-11
Factor
-11
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-\frac{3}{5}\times 19+\frac{2}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{-3\times 19}{5}+\frac{2}{5}
Express -\frac{3}{5}\times 19 as a single fraction.
\frac{-57}{5}+\frac{2}{5}
Multiply -3 and 19 to get -57.
-\frac{57}{5}+\frac{2}{5}
Fraction \frac{-57}{5} can be rewritten as -\frac{57}{5} by extracting the negative sign.
\frac{-57+2}{5}
Since -\frac{57}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.
\frac{-55}{5}
Add -57 and 2 to get -55.
-11
Divide -55 by 5 to get -11.
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}