Evaluate
-\frac{500}{1743}\approx -0.286861733
Factor
-\frac{500}{1743} = -0.2868617326448652
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\frac{250}{-312.3-384.9}\times 0.8
Subtract 562.3 from 250 to get -312.3.
\frac{250}{-697.2}\times 0.8
Subtract 384.9 from -312.3 to get -697.2.
\frac{2500}{-6972}\times 0.8
Expand \frac{250}{-697.2} by multiplying both numerator and the denominator by 10.
-\frac{625}{1743}\times 0.8
Reduce the fraction \frac{2500}{-6972} to lowest terms by extracting and canceling out 4.
-\frac{625}{1743}\times \frac{4}{5}
Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{-625\times 4}{1743\times 5}
Multiply -\frac{625}{1743} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-2500}{8715}
Do the multiplications in the fraction \frac{-625\times 4}{1743\times 5}.
-\frac{500}{1743}
Reduce the fraction \frac{-2500}{8715} 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}