Evaluate
\frac{23}{3}\approx 7.666666667
Factor
\frac{23}{3} = 7\frac{2}{3} = 7.666666666666667
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\frac{5+5+6+7+8+9+10+11+12+13+14+15}{15}
Add 1 and 4 to get 5.
\frac{10+6+7+8+9+10+11+12+13+14+15}{15}
Add 5 and 5 to get 10.
\frac{16+7+8+9+10+11+12+13+14+15}{15}
Add 10 and 6 to get 16.
\frac{23+8+9+10+11+12+13+14+15}{15}
Add 16 and 7 to get 23.
\frac{31+9+10+11+12+13+14+15}{15}
Add 23 and 8 to get 31.
\frac{40+10+11+12+13+14+15}{15}
Add 31 and 9 to get 40.
\frac{50+11+12+13+14+15}{15}
Add 40 and 10 to get 50.
\frac{61+12+13+14+15}{15}
Add 50 and 11 to get 61.
\frac{73+13+14+15}{15}
Add 61 and 12 to get 73.
\frac{86+14+15}{15}
Add 73 and 13 to get 86.
\frac{100+15}{15}
Add 86 and 14 to get 100.
\frac{115}{15}
Add 100 and 15 to get 115.
\frac{23}{3}
Reduce the fraction \frac{115}{15} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}