Evaluate
-\frac{x}{2}+\frac{14}{3}
Factor
\frac{28-3x}{6}
Graph
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\frac{6}{3}-\frac{1}{2}x-\frac{1}{3}+3
Convert 2 to fraction \frac{6}{3}.
\frac{6-1}{3}-\frac{1}{2}x+3
Since \frac{6}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{5}{3}-\frac{1}{2}x+3
Subtract 1 from 6 to get 5.
\frac{5}{3}-\frac{1}{2}x+\frac{9}{3}
Convert 3 to fraction \frac{9}{3}.
\frac{5+9}{3}-\frac{1}{2}x
Since \frac{5}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.
\frac{14}{3}-\frac{1}{2}x
Add 5 and 9 to get 14.
\frac{28-3x}{6}
Factor out \frac{1}{6}.
-3x+28
Consider 12-3x-2+18. Multiply and combine like terms.
\frac{-3x+28}{6}
Rewrite the complete factored 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}