Evaluate
\frac{8}{5}=1.6
Factor
\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6
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\frac{4^{2}-4}{\frac{15}{2}}
Add \frac{5}{2} and \frac{3}{2} to get 4.
\frac{16-4}{\frac{15}{2}}
Calculate 4 to the power of 2 and get 16.
\frac{12}{\frac{15}{2}}
Subtract 4 from 16 to get 12.
12\times \frac{2}{15}
Divide 12 by \frac{15}{2} by multiplying 12 by the reciprocal of \frac{15}{2}.
\frac{8}{5}
Multiply 12 and \frac{2}{15} to get \frac{8}{5}.
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}