Evaluate
\frac{40}{7}\approx 5.714285714
Factor
\frac{2 ^ {3} \cdot 5}{7} = 5\frac{5}{7} = 5.714285714285714
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\frac{21+1}{7}+\frac{2\times 7+4}{7}
Multiply 3 and 7 to get 21.
\frac{22}{7}+\frac{2\times 7+4}{7}
Add 21 and 1 to get 22.
\frac{22}{7}+\frac{14+4}{7}
Multiply 2 and 7 to get 14.
\frac{22}{7}+\frac{18}{7}
Add 14 and 4 to get 18.
\frac{22+18}{7}
Since \frac{22}{7} and \frac{18}{7} have the same denominator, add them by adding their numerators.
\frac{40}{7}
Add 22 and 18 to get 40.
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Matrix
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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
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