Evaluate
\frac{23}{14}\approx 1.642857143
Factor
\frac{23}{2 \cdot 7} = 1\frac{9}{14} = 1.6428571428571428
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\frac{1}{2}+\frac{7+1}{7}
Multiply 1 and 7 to get 7.
\frac{1}{2}+\frac{8}{7}
Add 7 and 1 to get 8.
\frac{7}{14}+\frac{16}{14}
Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{8}{7} to fractions with denominator 14.
\frac{7+16}{14}
Since \frac{7}{14} and \frac{16}{14} have the same denominator, add them by adding their numerators.
\frac{23}{14}
Add 7 and 16 to get 23.
Examples
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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}