Evaluate
\frac{40}{21}\approx 1.904761905
Factor
\frac{2 ^ {3} \cdot 5}{3 \cdot 7} = 1\frac{19}{21} = 1.9047619047619047
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\frac{14+4}{7}-\frac{2}{3}
Multiply 2 and 7 to get 14.
\frac{18}{7}-\frac{2}{3}
Add 14 and 4 to get 18.
\frac{54}{21}-\frac{14}{21}
Least common multiple of 7 and 3 is 21. Convert \frac{18}{7} and \frac{2}{3} to fractions with denominator 21.
\frac{54-14}{21}
Since \frac{54}{21} and \frac{14}{21} have the same denominator, subtract them by subtracting their numerators.
\frac{40}{21}
Subtract 14 from 54 to get 40.
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}