Evaluate
\frac{1780}{11}\approx 161.818181818
Factor
\frac{2 ^ {2} \cdot 5 \cdot 89}{11} = 161\frac{9}{11} = 161.8181818181818
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160+\frac{10}{110}\times 20
Subtract 45 from 55 to get 10.
160+\frac{1}{11}\times 20
Reduce the fraction \frac{10}{110} to lowest terms by extracting and canceling out 10.
160+\frac{20}{11}
Multiply \frac{1}{11} and 20 to get \frac{20}{11}.
\frac{1760}{11}+\frac{20}{11}
Convert 160 to fraction \frac{1760}{11}.
\frac{1760+20}{11}
Since \frac{1760}{11} and \frac{20}{11} have the same denominator, add them by adding their numerators.
\frac{1780}{11}
Add 1760 and 20 to get 1780.
Examples
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{ 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}