Evaluate
\frac{61}{9}\approx 6.777777778
Factor
\frac{61}{3 ^ {2}} = 6\frac{7}{9} = 6.777777777777778
Share
Copied to clipboard
\frac{198+14}{18}-5
Multiply 11 and 18 to get 198.
\frac{212}{18}-5
Add 198 and 14 to get 212.
\frac{106}{9}-5
Reduce the fraction \frac{212}{18} to lowest terms by extracting and canceling out 2.
\frac{106}{9}-\frac{45}{9}
Convert 5 to fraction \frac{45}{9}.
\frac{106-45}{9}
Since \frac{106}{9} and \frac{45}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{61}{9}
Subtract 45 from 106 to get 61.
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}