Evaluate
\frac{41750}{9}\approx 4638.888888889
Factor
\frac{2 \cdot 5 ^ {3} \cdot 167}{3 ^ {2}} = 4638\frac{8}{9} = 4638.888888888889
Share
Copied to clipboard
\frac{2200\times 20\times 2+3000\times 20+20\times 500+15\times 600}{3\times 12}
Express \frac{\frac{2200\times 20\times 2+3000\times 20+20\times 500+15\times 600}{3}}{12} as a single fraction.
\frac{44000\times 2+60000+10000+9000}{3\times 12}
Multiply 2200 and 20 to get 44000. Multiply 3000 and 20 to get 60000. Multiply 20 and 500 to get 10000. Multiply 15 and 600 to get 9000.
\frac{88000+60000+10000+9000}{3\times 12}
Multiply 44000 and 2 to get 88000.
\frac{148000+10000+9000}{3\times 12}
Add 88000 and 60000 to get 148000.
\frac{158000+9000}{3\times 12}
Add 148000 and 10000 to get 158000.
\frac{167000}{3\times 12}
Add 158000 and 9000 to get 167000.
\frac{167000}{36}
Multiply 3 and 12 to get 36.
\frac{41750}{9}
Reduce the fraction \frac{167000}{36} to lowest terms by extracting and canceling out 4.
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}