Evaluate
\frac{110}{27}\approx 4.074074074
Factor
\frac{2 \cdot 5 \cdot 11}{3 ^ {3}} = 4\frac{2}{27} = 4.074074074074074
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-\frac{25}{27}+3\times \frac{5}{3}
Fraction \frac{-25}{27} can be rewritten as -\frac{25}{27} by extracting the negative sign.
-\frac{25}{27}+5
Cancel out 3 and 3.
-\frac{25}{27}+\frac{135}{27}
Convert 5 to fraction \frac{135}{27}.
\frac{-25+135}{27}
Since -\frac{25}{27} and \frac{135}{27} have the same denominator, add them by adding their numerators.
\frac{110}{27}
Add -25 and 135 to get 110.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}