Evaluate
\frac{17}{12}\approx 1.416666667
Factor
\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667
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1+\frac{5}{4}\times \frac{1}{3}
Divide 3 by 3 to get 1.
1+\frac{5\times 1}{4\times 3}
Multiply \frac{5}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
1+\frac{5}{12}
Do the multiplications in the fraction \frac{5\times 1}{4\times 3}.
\frac{12}{12}+\frac{5}{12}
Convert 1 to fraction \frac{12}{12}.
\frac{12+5}{12}
Since \frac{12}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.
\frac{17}{12}
Add 12 and 5 to get 17.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}