Evaluate
\frac{1}{5}=0.2
Factor
\frac{1}{5} = 0.2
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2-\frac{8+1}{4}\times \frac{4}{5}
Multiply 2 and 4 to get 8.
2-\frac{9}{4}\times \frac{4}{5}
Add 8 and 1 to get 9.
2-\frac{9\times 4}{4\times 5}
Multiply \frac{9}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.
2-\frac{9}{5}
Cancel out 4 in both numerator and denominator.
\frac{10}{5}-\frac{9}{5}
Convert 2 to fraction \frac{10}{5}.
\frac{10-9}{5}
Since \frac{10}{5} and \frac{9}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{5}
Subtract 9 from 10 to get 1.
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}