Evaluate
\frac{3\left(2x+3y\right)}{2y\left(6x-1\right)}
Expand
\frac{3\left(2x+3y\right)}{2y\left(6x-1\right)}
Quiz
Algebra
5 problems similar to:
\frac { \frac { 2 x + 3 y } { 2 x y } } { \frac { 6 x - 1 } { 3 x } }
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\frac{\left(2x+3y\right)\times 3x}{2xy\left(6x-1\right)}
Divide \frac{2x+3y}{2xy} by \frac{6x-1}{3x} by multiplying \frac{2x+3y}{2xy} by the reciprocal of \frac{6x-1}{3x}.
\frac{3\left(2x+3y\right)}{2y\left(6x-1\right)}
Cancel out x in both numerator and denominator.
\frac{6x+9y}{2y\left(6x-1\right)}
Use the distributive property to multiply 3 by 2x+3y.
\frac{6x+9y}{12yx-2y}
Use the distributive property to multiply 2y by 6x-1.
\frac{\left(2x+3y\right)\times 3x}{2xy\left(6x-1\right)}
Divide \frac{2x+3y}{2xy} by \frac{6x-1}{3x} by multiplying \frac{2x+3y}{2xy} by the reciprocal of \frac{6x-1}{3x}.
\frac{3\left(2x+3y\right)}{2y\left(6x-1\right)}
Cancel out x in both numerator and denominator.
\frac{6x+9y}{2y\left(6x-1\right)}
Use the distributive property to multiply 3 by 2x+3y.
\frac{6x+9y}{12yx-2y}
Use the distributive property to multiply 2y by 6x-1.
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}