Evaluate
\frac{63}{2}=31.5
Factor
\frac{3 ^ {2} \cdot 7}{2} = 31\frac{1}{2} = 31.5
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\frac{36-\frac{1}{2}-4}{4\times 8-2\times 16+1}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{\frac{72}{2}-\frac{1}{2}-4}{4\times 8-2\times 16+1}
Convert 36 to fraction \frac{72}{2}.
\frac{\frac{72-1}{2}-4}{4\times 8-2\times 16+1}
Since \frac{72}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{71}{2}-4}{4\times 8-2\times 16+1}
Subtract 1 from 72 to get 71.
\frac{\frac{71}{2}-\frac{8}{2}}{4\times 8-2\times 16+1}
Convert 4 to fraction \frac{8}{2}.
\frac{\frac{71-8}{2}}{4\times 8-2\times 16+1}
Since \frac{71}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{63}{2}}{4\times 8-2\times 16+1}
Subtract 8 from 71 to get 63.
\frac{\frac{63}{2}}{32-2\times 16+1}
Multiply 4 and 8 to get 32.
\frac{\frac{63}{2}}{32-32+1}
Multiply 2 and 16 to get 32.
\frac{\frac{63}{2}}{0+1}
Subtract 32 from 32 to get 0.
\frac{\frac{63}{2}}{1}
Add 0 and 1 to get 1.
\frac{63}{2}
Anything divided by one gives itself.
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}