Evaluate
-\frac{85}{12}\approx -7.083333333
Factor
-\frac{85}{12} = -7\frac{1}{12} = -7.083333333333333
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-\frac{7}{12}-\frac{18}{12}-5
Least common multiple of 12 and 2 is 12. Convert -\frac{7}{12} and \frac{3}{2} to fractions with denominator 12.
\frac{-7-18}{12}-5
Since -\frac{7}{12} and \frac{18}{12} have the same denominator, subtract them by subtracting their numerators.
-\frac{25}{12}-5
Subtract 18 from -7 to get -25.
-\frac{25}{12}-\frac{60}{12}
Convert 5 to fraction \frac{60}{12}.
\frac{-25-60}{12}
Since -\frac{25}{12} and \frac{60}{12} have the same denominator, subtract them by subtracting their numerators.
-\frac{85}{12}
Subtract 60 from -25 to get -85.
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}