Evaluate
\frac{17}{45}\approx 0.377777778
Factor
\frac{17}{3 ^ {2} \cdot 5} = 0.37777777777777777
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3-\frac{3\times 4}{5}+6-\frac{7\times 8}{9}
Add 1 and 2 to get 3.
3-\frac{12}{5}+6-\frac{7\times 8}{9}
Multiply 3 and 4 to get 12.
\frac{15}{5}-\frac{12}{5}+6-\frac{7\times 8}{9}
Convert 3 to fraction \frac{15}{5}.
\frac{15-12}{5}+6-\frac{7\times 8}{9}
Since \frac{15}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{5}+6-\frac{7\times 8}{9}
Subtract 12 from 15 to get 3.
\frac{3}{5}+\frac{30}{5}-\frac{7\times 8}{9}
Convert 6 to fraction \frac{30}{5}.
\frac{3+30}{5}-\frac{7\times 8}{9}
Since \frac{3}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.
\frac{33}{5}-\frac{7\times 8}{9}
Add 3 and 30 to get 33.
\frac{33}{5}-\frac{56}{9}
Multiply 7 and 8 to get 56.
\frac{297}{45}-\frac{280}{45}
Least common multiple of 5 and 9 is 45. Convert \frac{33}{5} and \frac{56}{9} to fractions with denominator 45.
\frac{297-280}{45}
Since \frac{297}{45} and \frac{280}{45} have the same denominator, subtract them by subtracting their numerators.
\frac{17}{45}
Subtract 280 from 297 to get 17.
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}