Evaluate
-\frac{20x}{9}+\frac{2}{3}
Expand
-\frac{20x}{9}+\frac{2}{3}
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\frac{\left(\frac{5}{3}x-\frac{1}{2}\right)\times 4}{-3}
Divide \frac{5}{3}x-\frac{1}{2} by -\frac{3}{4} by multiplying \frac{5}{3}x-\frac{1}{2} by the reciprocal of -\frac{3}{4}.
\frac{\frac{5}{3}x\times 4-\frac{1}{2}\times 4}{-3}
Use the distributive property to multiply \frac{5}{3}x-\frac{1}{2} by 4.
\frac{\frac{5\times 4}{3}x-\frac{1}{2}\times 4}{-3}
Express \frac{5}{3}\times 4 as a single fraction.
\frac{\frac{20}{3}x-\frac{1}{2}\times 4}{-3}
Multiply 5 and 4 to get 20.
\frac{\frac{20}{3}x+\frac{-4}{2}}{-3}
Express -\frac{1}{2}\times 4 as a single fraction.
\frac{\frac{20}{3}x-2}{-3}
Divide -4 by 2 to get -2.
\frac{\left(\frac{5}{3}x-\frac{1}{2}\right)\times 4}{-3}
Divide \frac{5}{3}x-\frac{1}{2} by -\frac{3}{4} by multiplying \frac{5}{3}x-\frac{1}{2} by the reciprocal of -\frac{3}{4}.
\frac{\frac{5}{3}x\times 4-\frac{1}{2}\times 4}{-3}
Use the distributive property to multiply \frac{5}{3}x-\frac{1}{2} by 4.
\frac{\frac{5\times 4}{3}x-\frac{1}{2}\times 4}{-3}
Express \frac{5}{3}\times 4 as a single fraction.
\frac{\frac{20}{3}x-\frac{1}{2}\times 4}{-3}
Multiply 5 and 4 to get 20.
\frac{\frac{20}{3}x+\frac{-4}{2}}{-3}
Express -\frac{1}{2}\times 4 as a single fraction.
\frac{\frac{20}{3}x-2}{-3}
Divide -4 by 2 to get -2.
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}