Evaluate
6
Factor
2\times 3
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\frac{1}{2}+\frac{6}{3}+\frac{12}{4}+\frac{5}{10}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{1}{2}+2+\frac{12}{4}+\frac{5}{10}
Divide 6 by 3 to get 2.
\frac{1}{2}+\frac{4}{2}+\frac{12}{4}+\frac{5}{10}
Convert 2 to fraction \frac{4}{2}.
\frac{1+4}{2}+\frac{12}{4}+\frac{5}{10}
Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.
\frac{5}{2}+\frac{12}{4}+\frac{5}{10}
Add 1 and 4 to get 5.
\frac{5}{2}+3+\frac{5}{10}
Divide 12 by 4 to get 3.
\frac{5}{2}+\frac{6}{2}+\frac{5}{10}
Convert 3 to fraction \frac{6}{2}.
\frac{5+6}{2}+\frac{5}{10}
Since \frac{5}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.
\frac{11}{2}+\frac{5}{10}
Add 5 and 6 to get 11.
\frac{11}{2}+\frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{11+1}{2}
Since \frac{11}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{12}{2}
Add 11 and 1 to get 12.
6
Divide 12 by 2 to get 6.
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}