Evaluate
234.375
Factor
\frac{3 \cdot 5 ^ {4}}{2 ^ {3}} = 234\frac{3}{8} = 234.375
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\frac{900}{6}\left(2\times 0.25+0.75+2\times 0.25-0.25\right)+9.375
Calculate 30 to the power of 2 and get 900.
150\left(2\times 0.25+0.75+2\times 0.25-0.25\right)+9.375
Divide 900 by 6 to get 150.
150\left(0.5+0.75+2\times 0.25-0.25\right)+9.375
Multiply 2 and 0.25 to get 0.5.
150\left(1.25+2\times 0.25-0.25\right)+9.375
Add 0.5 and 0.75 to get 1.25.
150\left(1.25+0.5-0.25\right)+9.375
Multiply 2 and 0.25 to get 0.5.
150\left(1.75-0.25\right)+9.375
Add 1.25 and 0.5 to get 1.75.
150\times 1.5+9.375
Subtract 0.25 from 1.75 to get 1.5.
225+9.375
Multiply 150 and 1.5 to get 225.
234.375
Add 225 and 9.375 to get 234.375.
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}