Evaluate
-0.5
Factor
-0.5
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\frac{-0.75\left(-\frac{2+1}{2}\right)}{-\frac{2\times 4+1}{4}}
Multiply 1 and 2 to get 2.
\frac{-0.75\left(-\frac{3}{2}\right)}{-\frac{2\times 4+1}{4}}
Add 2 and 1 to get 3.
\frac{-\frac{3}{4}\left(-\frac{3}{2}\right)}{-\frac{2\times 4+1}{4}}
Convert decimal number -0.75 to fraction -\frac{75}{100}. Reduce the fraction -\frac{75}{100} to lowest terms by extracting and canceling out 25.
\frac{\frac{-3\left(-3\right)}{4\times 2}}{-\frac{2\times 4+1}{4}}
Multiply -\frac{3}{4} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{9}{8}}{-\frac{2\times 4+1}{4}}
Do the multiplications in the fraction \frac{-3\left(-3\right)}{4\times 2}.
\frac{\frac{9}{8}}{-\frac{8+1}{4}}
Multiply 2 and 4 to get 8.
\frac{\frac{9}{8}}{-\frac{9}{4}}
Add 8 and 1 to get 9.
\frac{9}{8}\left(-\frac{4}{9}\right)
Divide \frac{9}{8} by -\frac{9}{4} by multiplying \frac{9}{8} by the reciprocal of -\frac{9}{4}.
\frac{9\left(-4\right)}{8\times 9}
Multiply \frac{9}{8} times -\frac{4}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{-4}{8}
Cancel out 9 in both numerator and denominator.
-\frac{1}{2}
Reduce the fraction \frac{-4}{8} to lowest terms by extracting and canceling out 4.
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}