- 20,4 : 4 + 0,2
Evaluate
-4,9
Factor
-4,9
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\frac{-204}{40}+0,2
Expand \frac{-20,4}{4} by multiplying both numerator and the denominator by 10.
-\frac{51}{10}+0,2
Reduce the fraction \frac{-204}{40} to lowest terms by extracting and canceling out 4.
-\frac{51}{10}+\frac{1}{5}
Convert decimal number 0,2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
-\frac{51}{10}+\frac{2}{10}
Least common multiple of 10 and 5 is 10. Convert -\frac{51}{10} and \frac{1}{5} to fractions with denominator 10.
\frac{-51+2}{10}
Since -\frac{51}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.
-\frac{49}{10}
Add -51 and 2 to get -49.
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}