Evaluate
\frac{81}{10}=8.1
Factor
\frac{3 ^ {4}}{2 \cdot 5} = 8\frac{1}{10} = 8.1
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\frac{3\times 7}{10}+\frac{1}{2}\times 12
Express \frac{3}{10}\times 7 as a single fraction.
\frac{21}{10}+\frac{1}{2}\times 12
Multiply 3 and 7 to get 21.
\frac{21}{10}+\frac{12}{2}
Multiply \frac{1}{2} and 12 to get \frac{12}{2}.
\frac{21}{10}+6
Divide 12 by 2 to get 6.
\frac{21}{10}+\frac{60}{10}
Convert 6 to fraction \frac{60}{10}.
\frac{21+60}{10}
Since \frac{21}{10} and \frac{60}{10} have the same denominator, add them by adding their numerators.
\frac{81}{10}
Add 21 and 60 to get 81.
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}