Evaluate
\frac{5}{6}\approx 0.833333333
Factor
\frac{5}{2 \cdot 3} = 0.8333333333333334
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-\frac{10}{9}\left(-\frac{3}{4}\right)
Divide -\frac{10}{9} by -\frac{4}{3} by multiplying -\frac{10}{9} by the reciprocal of -\frac{4}{3}.
\frac{-10\left(-3\right)}{9\times 4}
Multiply -\frac{10}{9} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{30}{36}
Do the multiplications in the fraction \frac{-10\left(-3\right)}{9\times 4}.
\frac{5}{6}
Reduce the fraction \frac{30}{36} to lowest terms by extracting and canceling out 6.
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}