Evaluate
\frac{68}{125}=0.544
Factor
\frac{2 ^ {2} \cdot 17}{5 ^ {3}} = 0.544
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\frac{\left(3\times 5+2\right)\times 4}{5\left(6\times 4+1\right)}
Divide \frac{3\times 5+2}{5} by \frac{6\times 4+1}{4} by multiplying \frac{3\times 5+2}{5} by the reciprocal of \frac{6\times 4+1}{4}.
\frac{\left(15+2\right)\times 4}{5\left(6\times 4+1\right)}
Multiply 3 and 5 to get 15.
\frac{17\times 4}{5\left(6\times 4+1\right)}
Add 15 and 2 to get 17.
\frac{68}{5\left(6\times 4+1\right)}
Multiply 17 and 4 to get 68.
\frac{68}{5\left(24+1\right)}
Multiply 6 and 4 to get 24.
\frac{68}{5\times 25}
Add 24 and 1 to get 25.
\frac{68}{125}
Multiply 5 and 25 to get 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}