\frac { - 2 } { 5 } - 6,1
Evaluate
-6,5
Factor
-6,5
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-\frac{2}{5}-6,1
Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.
-\frac{2}{5}-\frac{61}{10}
Convert decimal number 6,1 to fraction \frac{61}{10}.
-\frac{4}{10}-\frac{61}{10}
Least common multiple of 5 and 10 is 10. Convert -\frac{2}{5} and \frac{61}{10} to fractions with denominator 10.
\frac{-4-61}{10}
Since -\frac{4}{10} and \frac{61}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{-65}{10}
Subtract 61 from -4 to get -65.
-\frac{13}{2}
Reduce the fraction \frac{-65}{10} to lowest terms by extracting and canceling out 5.
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}