2,2 - 6 \frac { 2 } { 5 } : 2
Evaluate
-1
Factor
-1
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2,2-\frac{6\times 5+2}{5\times 2}
Express \frac{\frac{6\times 5+2}{5}}{2} as a single fraction.
2,2-\frac{30+2}{5\times 2}
Multiply 6 and 5 to get 30.
2,2-\frac{32}{5\times 2}
Add 30 and 2 to get 32.
2,2-\frac{32}{10}
Multiply 5 and 2 to get 10.
2,2-\frac{16}{5}
Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.
\frac{11}{5}-\frac{16}{5}
Convert decimal number 2,2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.
\frac{11-16}{5}
Since \frac{11}{5} and \frac{16}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{-5}{5}
Subtract 16 from 11 to get -5.
-1
Divide -5 by 5 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}