Evaluate
-3
Factor
-3
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\frac{3}{4}\times 4-\frac{\frac{2}{3}}{\frac{1}{9}}
Anything divided by one gives itself.
3-\frac{\frac{2}{3}}{\frac{1}{9}}
Cancel out 4 and 4.
3-\frac{2}{3}\times 9
Divide \frac{2}{3} by \frac{1}{9} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{9}.
3-\frac{2\times 9}{3}
Express \frac{2}{3}\times 9 as a single fraction.
3-\frac{18}{3}
Multiply 2 and 9 to get 18.
3-6
Divide 18 by 3 to get 6.
-3
Subtract 6 from 3 to get -3.
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}