Evaluate
\frac{309}{7}\approx 44.142857143
Factor
\frac{3 \cdot 103}{7} = 44\frac{1}{7} = 44.142857142857146
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32+\frac{5}{13-6}\times 17
Subtract 6 from 11 to get 5.
32+\frac{5}{7}\times 17
Subtract 6 from 13 to get 7.
32+\frac{5\times 17}{7}
Express \frac{5}{7}\times 17 as a single fraction.
32+\frac{85}{7}
Multiply 5 and 17 to get 85.
\frac{224}{7}+\frac{85}{7}
Convert 32 to fraction \frac{224}{7}.
\frac{224+85}{7}
Since \frac{224}{7} and \frac{85}{7} have the same denominator, add them by adding their numerators.
\frac{309}{7}
Add 224 and 85 to get 309.
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}