\frac { - 2,3 \cdot 18 + 7 \cdot ( - 2,3 ) - ( - 2 \cdot 3 ) \cdot 20 } { 10 \cdot 2,3 }
Evaluate
\frac{125}{46}\approx 2,717391304
Factor
\frac{5 ^ {3}}{2 \cdot 23} = 2\frac{33}{46} = 2.717391304347826
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\frac{-41,4+7\left(-2,3\right)-\left(-2\times 3\times 20\right)}{10\times 2,3}
Multiply -2,3 and 18 to get -41,4.
\frac{-41,4-16,1-\left(-2\times 3\times 20\right)}{10\times 2,3}
Multiply 7 and -2,3 to get -16,1.
\frac{-57,5-\left(-2\times 3\times 20\right)}{10\times 2,3}
Subtract 16,1 from -41,4 to get -57,5.
\frac{-57,5-\left(-6\times 20\right)}{10\times 2,3}
Multiply -2 and 3 to get -6.
\frac{-57,5-\left(-120\right)}{10\times 2,3}
Multiply -6 and 20 to get -120.
\frac{-57,5+120}{10\times 2,3}
The opposite of -120 is 120.
\frac{62,5}{10\times 2,3}
Add -57,5 and 120 to get 62,5.
\frac{62,5}{23}
Multiply 10 and 2,3 to get 23.
\frac{625}{230}
Expand \frac{62,5}{23} by multiplying both numerator and the denominator by 10.
\frac{125}{46}
Reduce the fraction \frac{625}{230} 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}