Evaluate
\frac{41}{15}\approx 2.733333333
Factor
\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334
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\frac{75+7}{15}-\frac{2\times 15+11}{15}
Multiply 5 and 15 to get 75.
\frac{82}{15}-\frac{2\times 15+11}{15}
Add 75 and 7 to get 82.
\frac{82}{15}-\frac{30+11}{15}
Multiply 2 and 15 to get 30.
\frac{82}{15}-\frac{41}{15}
Add 30 and 11 to get 41.
\frac{82-41}{15}
Since \frac{82}{15} and \frac{41}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{41}{15}
Subtract 41 from 82 to get 41.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}