Evaluate
\frac{74}{9}\approx 8.222222222
Factor
\frac{2 \cdot 37}{3 ^ {2}} = 8\frac{2}{9} = 8.222222222222221
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8+\frac{1}{2}\times \frac{4}{9}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.
8+\frac{1\times 4}{2\times 9}
Multiply \frac{1}{2} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.
8+\frac{4}{18}
Do the multiplications in the fraction \frac{1\times 4}{2\times 9}.
8+\frac{2}{9}
Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.
\frac{72}{9}+\frac{2}{9}
Convert 8 to fraction \frac{72}{9}.
\frac{72+2}{9}
Since \frac{72}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.
\frac{74}{9}
Add 72 and 2 to get 74.
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}