Evaluate
84.6
Factor
\frac{47 \cdot 3 ^ {2}}{5} = 84\frac{3}{5} = 84.6
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32\times \frac{19}{8}\times 0.6+\frac{27}{\frac{9}{13}}
Divide 32 by \frac{8}{19} by multiplying 32 by the reciprocal of \frac{8}{19}.
\frac{32\times 19}{8}\times 0.6+\frac{27}{\frac{9}{13}}
Express 32\times \frac{19}{8} as a single fraction.
\frac{608}{8}\times 0.6+\frac{27}{\frac{9}{13}}
Multiply 32 and 19 to get 608.
76\times 0.6+\frac{27}{\frac{9}{13}}
Divide 608 by 8 to get 76.
45.6+\frac{27}{\frac{9}{13}}
Multiply 76 and 0.6 to get 45.6.
45.6+27\times \frac{13}{9}
Divide 27 by \frac{9}{13} by multiplying 27 by the reciprocal of \frac{9}{13}.
45.6+\frac{27\times 13}{9}
Express 27\times \frac{13}{9} as a single fraction.
45.6+\frac{351}{9}
Multiply 27 and 13 to get 351.
45.6+39
Divide 351 by 9 to get 39.
84.6
Add 45.6 and 39 to get 84.6.
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}