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\frac{x}{3}
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\frac{x}{3}
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\frac{2x\left(3x+6\right)}{3\left(6x+12\right)}
Divide \frac{2x}{3} by \frac{6x+12}{3x+6} by multiplying \frac{2x}{3} by the reciprocal of \frac{6x+12}{3x+6}.
\frac{2\times 3x\left(x+2\right)}{3\times 6\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{x}{3}
Cancel out 2\times 3\left(x+2\right) in both numerator and denominator.
\frac{2x\left(3x+6\right)}{3\left(6x+12\right)}
Divide \frac{2x}{3} by \frac{6x+12}{3x+6} by multiplying \frac{2x}{3} by the reciprocal of \frac{6x+12}{3x+6}.
\frac{2\times 3x\left(x+2\right)}{3\times 6\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{x}{3}
Cancel out 2\times 3\left(x+2\right) in both numerator and denominator.
Examples
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y = 3x + 4
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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}