Evaluate
\frac{7}{2}=3.5
Factor
\frac{7}{2} = 3\frac{1}{2} = 3.5
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\frac{128+7}{16}-\frac{4\times 16+15}{16}
Multiply 8 and 16 to get 128.
\frac{135}{16}-\frac{4\times 16+15}{16}
Add 128 and 7 to get 135.
\frac{135}{16}-\frac{64+15}{16}
Multiply 4 and 16 to get 64.
\frac{135}{16}-\frac{79}{16}
Add 64 and 15 to get 79.
\frac{135-79}{16}
Since \frac{135}{16} and \frac{79}{16} have the same denominator, subtract them by subtracting their numerators.
\frac{56}{16}
Subtract 79 from 135 to get 56.
\frac{7}{2}
Reduce the fraction \frac{56}{16} to lowest terms by extracting and canceling out 8.
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}