Evaluate
1.1
Factor
\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1.1
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\frac{-8+\frac{3\times 5+3}{5}}{11-15}
Subtract 1.8 from -6.2 to get -8.
\frac{-8+\frac{15+3}{5}}{11-15}
Multiply 3 and 5 to get 15.
\frac{-8+\frac{18}{5}}{11-15}
Add 15 and 3 to get 18.
\frac{-\frac{40}{5}+\frac{18}{5}}{11-15}
Convert -8 to fraction -\frac{40}{5}.
\frac{\frac{-40+18}{5}}{11-15}
Since -\frac{40}{5} and \frac{18}{5} have the same denominator, add them by adding their numerators.
\frac{-\frac{22}{5}}{11-15}
Add -40 and 18 to get -22.
\frac{-\frac{22}{5}}{-4}
Subtract 15 from 11 to get -4.
\frac{-22}{5\left(-4\right)}
Express \frac{-\frac{22}{5}}{-4} as a single fraction.
\frac{-22}{-20}
Multiply 5 and -4 to get -20.
\frac{11}{10}
Reduce the fraction \frac{-22}{-20} 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}