\frac { 30 * 9 } { 4 } * ( 0.57 + 0.70 + 0.70 + 0.8
Evaluate
186.975
Factor
\frac{277 \cdot 3 ^ {3}}{5 \cdot 2 ^ {3}} = 186\frac{39}{40} = 186.975
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\frac{270}{4}\left(0.57+0.7+0.7+0.8\right)
Multiply 30 and 9 to get 270.
\frac{135}{2}\left(0.57+0.7+0.7+0.8\right)
Reduce the fraction \frac{270}{4} to lowest terms by extracting and canceling out 2.
\frac{135}{2}\left(1.27+0.7+0.8\right)
Add 0.57 and 0.7 to get 1.27.
\frac{135}{2}\left(1.97+0.8\right)
Add 1.27 and 0.7 to get 1.97.
\frac{135}{2}\times 2.77
Add 1.97 and 0.8 to get 2.77.
\frac{135}{2}\times \frac{277}{100}
Convert decimal number 2.77 to fraction \frac{277}{100}.
\frac{135\times 277}{2\times 100}
Multiply \frac{135}{2} times \frac{277}{100} by multiplying numerator times numerator and denominator times denominator.
\frac{37395}{200}
Do the multiplications in the fraction \frac{135\times 277}{2\times 100}.
\frac{7479}{40}
Reduce the fraction \frac{37395}{200} to lowest terms by extracting and canceling out 5.
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}