Evaluate
\frac{107}{5}=21.4
Factor
\frac{107}{5} = 21\frac{2}{5} = 21.4
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40+\frac{25-56}{10}\times 6
Multiply 5 and 5 to get 25.
40+\frac{-31}{10}\times 6
Subtract 56 from 25 to get -31.
40-\frac{31}{10}\times 6
Fraction \frac{-31}{10} can be rewritten as -\frac{31}{10} by extracting the negative sign.
40+\frac{-31\times 6}{10}
Express -\frac{31}{10}\times 6 as a single fraction.
40+\frac{-186}{10}
Multiply -31 and 6 to get -186.
40-\frac{93}{5}
Reduce the fraction \frac{-186}{10} to lowest terms by extracting and canceling out 2.
\frac{200}{5}-\frac{93}{5}
Convert 40 to fraction \frac{200}{5}.
\frac{200-93}{5}
Since \frac{200}{5} and \frac{93}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{107}{5}
Subtract 93 from 200 to get 107.
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}