Evaluate
\frac{416}{23}\approx 18.086956522
Factor
\frac{2 ^ {5} \cdot 13}{23} = 18\frac{2}{23} = 18.08695652173913
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\frac{5\times 8}{2\times 8+7}\times \frac{10\times 5+2}{5}
Divide 5 by \frac{2\times 8+7}{8} by multiplying 5 by the reciprocal of \frac{2\times 8+7}{8}.
\frac{40}{2\times 8+7}\times \frac{10\times 5+2}{5}
Multiply 5 and 8 to get 40.
\frac{40}{16+7}\times \frac{10\times 5+2}{5}
Multiply 2 and 8 to get 16.
\frac{40}{23}\times \frac{10\times 5+2}{5}
Add 16 and 7 to get 23.
\frac{40}{23}\times \frac{50+2}{5}
Multiply 10 and 5 to get 50.
\frac{40}{23}\times \frac{52}{5}
Add 50 and 2 to get 52.
\frac{40\times 52}{23\times 5}
Multiply \frac{40}{23} times \frac{52}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{2080}{115}
Do the multiplications in the fraction \frac{40\times 52}{23\times 5}.
\frac{416}{23}
Reduce the fraction \frac{2080}{115} to lowest terms by extracting and canceling out 5.
Examples
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{ 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}