Evaluate
\frac{y}{20}-\frac{2x}{15}
Factor
\frac{3y-8x}{60}
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-\frac{2}{15}x+\frac{y}{4}-\frac{y}{5}
Combine \frac{x}{5} and -\frac{x}{3} to get -\frac{2}{15}x.
-\frac{2}{15}x+\frac{1}{20}y
Combine \frac{y}{4} and -\frac{y}{5} to get \frac{1}{20}y.
\frac{12x+15y-20x-12y}{60}
Factor out \frac{1}{60}.
-8x+3y
Consider 12x+15y-20x-12y. Multiply and combine like terms.
\frac{-8x+3y}{60}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}