Evaluate
\frac{4}{3}\approx 1.333333333
Factor
\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333
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\frac{19+1}{19}\times \frac{1\times 15+4}{15}
Multiply 1 and 19 to get 19.
\frac{20}{19}\times \frac{1\times 15+4}{15}
Add 19 and 1 to get 20.
\frac{20}{19}\times \frac{15+4}{15}
Multiply 1 and 15 to get 15.
\frac{20}{19}\times \frac{19}{15}
Add 15 and 4 to get 19.
\frac{20\times 19}{19\times 15}
Multiply \frac{20}{19} times \frac{19}{15} by multiplying numerator times numerator and denominator times denominator.
\frac{20}{15}
Cancel out 19 in both numerator and denominator.
\frac{4}{3}
Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.
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}