Evaluate
\frac{6400}{9}\approx 711.111111111
Factor
\frac{2 ^ {8} \cdot 5 ^ {2}}{3 ^ {2}} = 711\frac{1}{9} = 711.1111111111111
Quiz
Arithmetic
5 problems similar to:
(80-2 \times 13 \frac { 1 } { 3 } ) \times 13 \frac { 1 } { 3 }
Share
Copied to clipboard
\left(80-2\times \frac{39+1}{3}\right)\times \frac{13\times 3+1}{3}
Multiply 13 and 3 to get 39.
\left(80-2\times \frac{40}{3}\right)\times \frac{13\times 3+1}{3}
Add 39 and 1 to get 40.
\left(80-\frac{2\times 40}{3}\right)\times \frac{13\times 3+1}{3}
Express 2\times \frac{40}{3} as a single fraction.
\left(80-\frac{80}{3}\right)\times \frac{13\times 3+1}{3}
Multiply 2 and 40 to get 80.
\left(\frac{240}{3}-\frac{80}{3}\right)\times \frac{13\times 3+1}{3}
Convert 80 to fraction \frac{240}{3}.
\frac{240-80}{3}\times \frac{13\times 3+1}{3}
Since \frac{240}{3} and \frac{80}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{160}{3}\times \frac{13\times 3+1}{3}
Subtract 80 from 240 to get 160.
\frac{160}{3}\times \frac{39+1}{3}
Multiply 13 and 3 to get 39.
\frac{160}{3}\times \frac{40}{3}
Add 39 and 1 to get 40.
\frac{160\times 40}{3\times 3}
Multiply \frac{160}{3} times \frac{40}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{6400}{9}
Do the multiplications in the fraction \frac{160\times 40}{3\times 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}