Evaluate
\frac{13}{12}\approx 1.083333333
Factor
\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333
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\frac{\frac{5\times 5}{2}}{6}-1
Express \frac{5}{2}\times 5 as a single fraction.
\frac{\frac{25}{2}}{6}-1
Multiply 5 and 5 to get 25.
\frac{25}{2\times 6}-1
Express \frac{\frac{25}{2}}{6} as a single fraction.
\frac{25}{12}-1
Multiply 2 and 6 to get 12.
\frac{25}{12}-\frac{12}{12}
Convert 1 to fraction \frac{12}{12}.
\frac{25-12}{12}
Since \frac{25}{12} and \frac{12}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{13}{12}
Subtract 12 from 25 to get 13.
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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}