Evaluate
\frac{19}{25}=0.76
Factor
\frac{19}{5 ^ {2}} = 0.76
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1-\frac{4}{5}\times \frac{3}{10}
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
1-\frac{4\times 3}{5\times 10}
Multiply \frac{4}{5} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.
1-\frac{12}{50}
Do the multiplications in the fraction \frac{4\times 3}{5\times 10}.
1-\frac{6}{25}
Reduce the fraction \frac{12}{50} to lowest terms by extracting and canceling out 2.
\frac{25}{25}-\frac{6}{25}
Convert 1 to fraction \frac{25}{25}.
\frac{25-6}{25}
Since \frac{25}{25} and \frac{6}{25} have the same denominator, subtract them by subtracting their numerators.
\frac{19}{25}
Subtract 6 from 25 to get 19.
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}