Evaluate
\frac{10}{3}\approx 3.333333333
Factor
\frac{2 \cdot 5}{3} = 3\frac{1}{3} \approx 3.333333333
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\frac{\left(3\times 4+3\right)\times 8}{4\left(1\times 8+1\right)}
Divide \frac{3\times 4+3}{4} by \frac{1\times 8+1}{8} by multiplying \frac{3\times 4+3}{4} by the reciprocal of \frac{1\times 8+1}{8}.
\frac{2\left(3+3\times 4\right)}{1+8}
Cancel out 4 in both numerator and denominator.
\frac{2\left(3+12\right)}{1+8}
Multiply 3 and 4 to get 12.
\frac{2\times 15}{1+8}
Add 3 and 12 to get 15.
\frac{30}{1+8}
Multiply 2 and 15 to get 30.
\frac{30}{9}
Add 1 and 8 to get 9.
\frac{10}{3}
Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.
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}