- 6 \frac { 3 } { 12 } + - 8,2
Evaluate
-14,45
Factor
-14,45
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-\frac{72+3}{12}-8,2
Multiply 6 and 12 to get 72.
-\frac{75}{12}-8,2
Add 72 and 3 to get 75.
-\frac{25}{4}-8,2
Reduce the fraction \frac{75}{12} to lowest terms by extracting and canceling out 3.
-\frac{25}{4}-\frac{41}{5}
Convert decimal number 8,2 to fraction \frac{82}{10}. Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.
-\frac{125}{20}-\frac{164}{20}
Least common multiple of 4 and 5 is 20. Convert -\frac{25}{4} and \frac{41}{5} to fractions with denominator 20.
\frac{-125-164}{20}
Since -\frac{125}{20} and \frac{164}{20} have the same denominator, subtract them by subtracting their numerators.
-\frac{289}{20}
Subtract 164 from -125 to get -289.
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}