Evaluate
\frac{213}{20}=10.65
Factor
\frac{3 \cdot 71}{2 ^ {2} \cdot 5} = 10\frac{13}{20} = 10.65
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\frac{15+2}{5}+\frac{7\times 4+1}{4}
Multiply 3 and 5 to get 15.
\frac{17}{5}+\frac{7\times 4+1}{4}
Add 15 and 2 to get 17.
\frac{17}{5}+\frac{28+1}{4}
Multiply 7 and 4 to get 28.
\frac{17}{5}+\frac{29}{4}
Add 28 and 1 to get 29.
\frac{68}{20}+\frac{145}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{17}{5} and \frac{29}{4} to fractions with denominator 20.
\frac{68+145}{20}
Since \frac{68}{20} and \frac{145}{20} have the same denominator, add them by adding their numerators.
\frac{213}{20}
Add 68 and 145 to get 213.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}