Evaluate
\frac{15}{2}=7.5
Factor
\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5
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\frac{18+1}{6}+2+\frac{2\times 3+1}{3}
Multiply 3 and 6 to get 18.
\frac{19}{6}+2+\frac{2\times 3+1}{3}
Add 18 and 1 to get 19.
\frac{19}{6}+\frac{12}{6}+\frac{2\times 3+1}{3}
Convert 2 to fraction \frac{12}{6}.
\frac{19+12}{6}+\frac{2\times 3+1}{3}
Since \frac{19}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.
\frac{31}{6}+\frac{2\times 3+1}{3}
Add 19 and 12 to get 31.
\frac{31}{6}+\frac{6+1}{3}
Multiply 2 and 3 to get 6.
\frac{31}{6}+\frac{7}{3}
Add 6 and 1 to get 7.
\frac{31}{6}+\frac{14}{6}
Least common multiple of 6 and 3 is 6. Convert \frac{31}{6} and \frac{7}{3} to fractions with denominator 6.
\frac{31+14}{6}
Since \frac{31}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.
\frac{45}{6}
Add 31 and 14 to get 45.
\frac{15}{2}
Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.
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}