Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
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\frac{\left(31\times 4+1\right)\times 6}{4\left(20\times 6+5\right)}
Divide \frac{31\times 4+1}{4} by \frac{20\times 6+5}{6} by multiplying \frac{31\times 4+1}{4} by the reciprocal of \frac{20\times 6+5}{6}.
\frac{3\left(1+4\times 31\right)}{2\left(5+6\times 20\right)}
Cancel out 2 in both numerator and denominator.
\frac{3\left(1+124\right)}{2\left(5+6\times 20\right)}
Multiply 4 and 31 to get 124.
\frac{3\times 125}{2\left(5+6\times 20\right)}
Add 1 and 124 to get 125.
\frac{375}{2\left(5+6\times 20\right)}
Multiply 3 and 125 to get 375.
\frac{375}{2\left(5+120\right)}
Multiply 6 and 20 to get 120.
\frac{375}{2\times 125}
Add 5 and 120 to get 125.
\frac{375}{250}
Multiply 2 and 125 to get 250.
\frac{3}{2}
Reduce the fraction \frac{375}{250} to lowest terms by extracting and canceling out 125.
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}