Evaluate
\frac{20}{3}\approx 6.666666667
Factor
\frac{5 \cdot 2 ^ {2}}{3} = 6\frac{2}{3} = 6.666666666666667
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20-\frac{1000}{75}
Expand \frac{1}{0.075} by multiplying both numerator and the denominator by 1000.
20-\frac{40}{3}
Reduce the fraction \frac{1000}{75} to lowest terms by extracting and canceling out 25.
\frac{60}{3}-\frac{40}{3}
Convert 20 to fraction \frac{60}{3}.
\frac{60-40}{3}
Since \frac{60}{3} and \frac{40}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{20}{3}
Subtract 40 from 60 to get 20.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}