Evaluate
\frac{8}{5}=1.6
Factor
\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6
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2\times \frac{7}{5}-\frac{1\times 5+1}{5}
Divide 2 by \frac{5}{7} by multiplying 2 by the reciprocal of \frac{5}{7}.
\frac{2\times 7}{5}-\frac{1\times 5+1}{5}
Express 2\times \frac{7}{5} as a single fraction.
\frac{14}{5}-\frac{1\times 5+1}{5}
Multiply 2 and 7 to get 14.
\frac{14}{5}-\frac{5+1}{5}
Multiply 1 and 5 to get 5.
\frac{14}{5}-\frac{6}{5}
Add 5 and 1 to get 6.
\frac{14-6}{5}
Since \frac{14}{5} and \frac{6}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{5}
Subtract 6 from 14 to get 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}