Evaluate
\frac{2\left(x+2\right)}{5\left(x+1\right)}
Expand
\frac{2\left(x+2\right)}{5\left(x+1\right)}
Graph
Share
Copied to clipboard
\frac{\frac{x^{2}+2x}{x+1}}{2x+\frac{x}{2}}
Cancel out 8, the greatest common factor in 4 and 8.
\frac{\frac{x^{2}+2x}{x+1}}{\frac{5}{2}x}
Combine 2x and \frac{x}{2} to get \frac{5}{2}x.
\frac{x^{2}+2x}{\left(x+1\right)\times \frac{5}{2}x}
Express \frac{\frac{x^{2}+2x}{x+1}}{\frac{5}{2}x} as a single fraction.
\frac{x\left(x+2\right)}{\frac{5}{2}x\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{x+2}{\frac{5}{2}\left(x+1\right)}
Cancel out x in both numerator and denominator.
\frac{x+2}{\frac{5}{2}x+\frac{5}{2}}
Expand the expression.
\frac{\frac{x^{2}+2x}{x+1}}{2x+\frac{x}{2}}
Cancel out 8, the greatest common factor in 4 and 8.
\frac{\frac{x^{2}+2x}{x+1}}{\frac{5}{2}x}
Combine 2x and \frac{x}{2} to get \frac{5}{2}x.
\frac{x^{2}+2x}{\left(x+1\right)\times \frac{5}{2}x}
Express \frac{\frac{x^{2}+2x}{x+1}}{\frac{5}{2}x} as a single fraction.
\frac{x\left(x+2\right)}{\frac{5}{2}x\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{x+2}{\frac{5}{2}\left(x+1\right)}
Cancel out x in both numerator and denominator.
\frac{x+2}{\frac{5}{2}x+\frac{5}{2}}
Expand the expression.
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}