Evaluate
\frac{22}{5}=4.4
Factor
\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4.4
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\frac{315+28}{35}-\frac{5\times 5+2}{5}
Multiply 9 and 35 to get 315.
\frac{343}{35}-\frac{5\times 5+2}{5}
Add 315 and 28 to get 343.
\frac{49}{5}-\frac{5\times 5+2}{5}
Reduce the fraction \frac{343}{35} to lowest terms by extracting and canceling out 7.
\frac{49}{5}-\frac{25+2}{5}
Multiply 5 and 5 to get 25.
\frac{49}{5}-\frac{27}{5}
Add 25 and 2 to get 27.
\frac{49-27}{5}
Since \frac{49}{5} and \frac{27}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{22}{5}
Subtract 27 from 49 to get 22.
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}