Evaluate
\frac{5757}{8}=719.625
Factor
\frac{3 \cdot 19 \cdot 101}{2 ^ {3}} = 719\frac{5}{8} = 719.625
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800-\frac{32000+150}{400}
Multiply 80 and 400 to get 32000.
800-\frac{32150}{400}
Add 32000 and 150 to get 32150.
800-\frac{643}{8}
Reduce the fraction \frac{32150}{400} to lowest terms by extracting and canceling out 50.
\frac{6400}{8}-\frac{643}{8}
Convert 800 to fraction \frac{6400}{8}.
\frac{6400-643}{8}
Since \frac{6400}{8} and \frac{643}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{5757}{8}
Subtract 643 from 6400 to get 5757.
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}