Evaluate
-\frac{3n}{2}
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-\frac{3n}{2}
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\left(-\frac{2}{4}-\frac{1}{4}\right)\times 2n
Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{1}{4} to fractions with denominator 4.
\frac{-2-1}{4}\times 2n
Since -\frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.
-\frac{3}{4}\times 2n
Subtract 1 from -2 to get -3.
\frac{-3\times 2}{4}n
Express -\frac{3}{4}\times 2 as a single fraction.
\frac{-6}{4}n
Multiply -3 and 2 to get -6.
-\frac{3}{2}n
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.
\left(-\frac{2}{4}-\frac{1}{4}\right)\times 2n
Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{1}{4} to fractions with denominator 4.
\frac{-2-1}{4}\times 2n
Since -\frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.
-\frac{3}{4}\times 2n
Subtract 1 from -2 to get -3.
\frac{-3\times 2}{4}n
Express -\frac{3}{4}\times 2 as a single fraction.
\frac{-6}{4}n
Multiply -3 and 2 to get -6.
-\frac{3}{2}n
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 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}