Evaluate
114.75
Factor
\frac{17 \cdot 3 ^ {3}}{2 ^ {2}} = 114\frac{3}{4} = 114.75
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9\times 8.5\left(1+\frac{1}{2}\right)
Subtract 4 from 12.5 to get 8.5.
76.5\left(1+\frac{1}{2}\right)
Multiply 9 and 8.5 to get 76.5.
76.5\left(\frac{2}{2}+\frac{1}{2}\right)
Convert 1 to fraction \frac{2}{2}.
76.5\times \frac{2+1}{2}
Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
76.5\times \frac{3}{2}
Add 2 and 1 to get 3.
\frac{153}{2}\times \frac{3}{2}
Convert decimal number 76.5 to fraction \frac{765}{10}. Reduce the fraction \frac{765}{10} to lowest terms by extracting and canceling out 5.
\frac{153\times 3}{2\times 2}
Multiply \frac{153}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{459}{4}
Do the multiplications in the fraction \frac{153\times 3}{2\times 2}.
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}