Evaluate
\frac{31}{9}\approx 3.444444444
Factor
\frac{31}{3 ^ {2}} = 3\frac{4}{9} = 3.4444444444444446
Share
Copied to clipboard
\frac{3+1}{3}+\frac{2\times 9+1}{9}
Multiply 1 and 3 to get 3.
\frac{4}{3}+\frac{2\times 9+1}{9}
Add 3 and 1 to get 4.
\frac{4}{3}+\frac{18+1}{9}
Multiply 2 and 9 to get 18.
\frac{4}{3}+\frac{19}{9}
Add 18 and 1 to get 19.
\frac{12}{9}+\frac{19}{9}
Least common multiple of 3 and 9 is 9. Convert \frac{4}{3} and \frac{19}{9} to fractions with denominator 9.
\frac{12+19}{9}
Since \frac{12}{9} and \frac{19}{9} have the same denominator, add them by adding their numerators.
\frac{31}{9}
Add 12 and 19 to get 31.
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}