Evaluate
\frac{40}{7}\approx 5.714285714
Factor
\frac{2 ^ {3} \cdot 5}{7} = 5\frac{5}{7} = 5.714285714285714
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7-\frac{3\times 3}{7}
Express 3\times \frac{3}{7} as a single fraction.
7-\frac{9}{7}
Multiply 3 and 3 to get 9.
\frac{49}{7}-\frac{9}{7}
Convert 7 to fraction \frac{49}{7}.
\frac{49-9}{7}
Since \frac{49}{7} and \frac{9}{7} have the same denominator, subtract them by subtracting their numerators.
\frac{40}{7}
Subtract 9 from 49 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}