Evaluate
\frac{23}{7}\approx 3.285714286
Factor
\frac{23}{7} = 3\frac{2}{7} = 3.2857142857142856
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\frac{21+1}{7}+\frac{2}{14}
Multiply 3 and 7 to get 21.
\frac{22}{7}+\frac{2}{14}
Add 21 and 1 to get 22.
\frac{22}{7}+\frac{1}{7}
Reduce the fraction \frac{2}{14} to lowest terms by extracting and canceling out 2.
\frac{22+1}{7}
Since \frac{22}{7} and \frac{1}{7} have the same denominator, add them by adding their numerators.
\frac{23}{7}
Add 22 and 1 to get 23.
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
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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}